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

First common multiples: 784; 1,568; 2,352; …

784 is divisible by both: 784 ÷ 98 = 8, 784 ÷ 112 = 7 — and 8 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/98 by 8 and of y/112 by 7.

98 = 2 × 72

112 = 24 × 7

Prime98112Highest power
222424
772772

LCM = 24 × 72 = 784

More with these numbers

See Also

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