LCM for 56 and 175
What's the Least Common Multiple (LCM) of 56 and 175?
(One thousand, four hundred)
Finding LCM for 56 and 175 using GCF's of these numbers
The first method to find LCM for numbers 56 and 175 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 56 and 175 is 7, so
LCM = (56 × 175) ÷ 7
LCM = 9800 ÷ 7
LCM = 1400
Finding LCM for 56 and 175 by Listing Multiples
The second method to find LCM for numbers 56 and 175 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344, 1400, 1456, 1512
Multiples of 175: 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750
So the LCM for 56 and 175 is 1400
Finding LCM for 56 and 175 by Prime Factorization
Another method to find LCM for numbers 56 and 175 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)
All Prime Factors of 175: 5, 5, 7 (exponent form: 52, 71)
23 × 71 × 52 = 1400
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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