LCM for 14 and 55
What's the Least Common Multiple (LCM) of 14 and 55?
Answer
(Seven hundred seventy)
Finding LCM for 14 and 55 using GCF of these numbers
The first method to find LCM for numbers 14 and 55 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 14 and 55 is 1, so
LCM = (14 × 55) ÷ 1
LCM = 770 ÷ 1
LCM = 770
Finding LCM for 14 and 55 by Listing Multiples
The second method to find LCM for numbers 14 and 55 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658, 672, 686, 700, 714, 728, 742, 756, 770, 784, 798
Multiples of 55: 55, 110, 165, 220, 275, 330, 385, 440, 495, 550, 605, 660, 715, 770, 825, 880
So the LCM for 14 and 55 is 770
Finding LCM for 14 and 55 by Prime Factorization
Another method to find LCM for numbers 14 and 55 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 14: 2, 7 (exponent form: 21, 71)
All Prime Factors of 55: 5, 11 (exponent form: 51, 111)
21 × 71 × 51 × 111 = 770
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/14--55">What is the LCM of 14 and 55? - Calculatio</a>
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About "Least Common Multiple" Calculator
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