LCM for 56 and 98

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What's the Least Common Multiple (LCM) of 56 and 98?

Answer

LCM of 56 and 98 is
392

First common multiples: 392; 784; 1,176; …

392 is divisible by both: 392 ÷ 56 = 7, 392 ÷ 98 = 4 — and 7 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 7 and of y/98 by 4.

56 = 23 × 7

98 = 2 × 72

Prime5698Highest power
223223
777272

LCM = 23 × 72 = 392

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LCM Table

Number 1Number 2LCM
56834,648
5684168
56854,760
56862,408
56874,872
5688616
56894,984
56902,520
5691728
56921,288
56935,208
56942,632
56955,320
5696672
56975,432
5698392
56995,544
561001,400
561015,656
561022,856
561035,768
56104728
56105840
561062,968
561075,992
561081,512
561096,104
561103,080
561116,216
56112112

FAQ

What's the Least Common Multiple (LCM) of 56 and 98?

LCM of 56 and 98 is 392

How to find the LCM of 56 and 98 using prime factorization?

To find the LCM of 56 and 98, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 392.

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 56 and 98: LCM = 392, GCF = 14.

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