LCM for 98 and 112

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What's the Least Common Multiple (LCM) of 98 and 112?

Answer

LCM of 98 and 112 is
784

(Seven hundred eighty-four)

Finding LCM for 98 and 112 using GCF of these numbers

The first method to find LCM for numbers 98 and 112 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 98 and 112 is 14, so

LCM = (98 × 112) ÷ 14

LCM = 10,976 ÷ 14

LCM = 784

Finding LCM for 98 and 112 by Listing Multiples

The second method to find LCM for numbers 98 and 112 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 98: 98, 196, 294, 392, 490, 588, 686, 784, 882, 980

Multiples of 112: 112, 224, 336, 448, 560, 672, 784, 896, 1,008

So the LCM for 98 and 112 is 784

Finding LCM for 98 and 112 by Prime Factorization

Another method to find LCM for numbers 98 and 112 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 98: 2, 7, 7 (exponent form: 21, 72)

All Prime Factors of 112: 2, 2, 2, 2, 7 (exponent form: 24, 71)

24 × 72 = 784

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 98 and 112? (The answer is: 784). Select the first number (e.g. '98') and the second number (e.g. '112'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
98979,506
989898
98999,702
981004,900
981019,898
981024,998
9810310,094
981045,096
981051,470
981065,194
9810710,486
981085,292
9810910,682
981105,390
9811110,878
98112784
9811311,074
981145,586
9811511,270
981165,684
9811711,466
981185,782
981191,666
981205,880
9812111,858
981225,978
9812312,054
981246,076
9812512,250
98126882

FAQ

What's the Least Common Multiple (LCM) of 98 and 112?

LCM of 98 and 112 is 784

How to find the LCM of 98 and 112 using prime factorization?

To find the LCM of 98 and 112, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 784.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 98 and 112: LCM = 784, GCF = 14.

See Also