LCM for 46 and 49

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What's the Least Common Multiple (LCM) of 46 and 49?

Answer

LCM of 46 and 49 is
2,254

First common multiples: 2,254; 4,508; 6,762; …

2,254 is divisible by both: 2,254 ÷ 46 = 49; 2,254 ÷ 49 = 46 — and 49 and 46 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/46 by 49 and of y/49 by 46.

46 and 49 are coprime (GCF = 1), so their LCM is simply the product: 46 × 49 = 2,254.

46 = 2 × 23

49 = 72

Prime4649Highest power
22—2
7—7272
2323—23

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 72 × 23 = 2,254

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LCM Table

Number 1Number 2LCM
4634782
46351,610
4636828
46371,702
4638874
46391,794
4640920
46411,886
4642966
46431,978
46441,012
46452,070
464646
46472,162
46481,104
46492,254
46501,150
46512,346
46521,196
46532,438
46541,242
46552,530
46561,288
46572,622
46581,334
46592,714
46601,380
46612,806
46621,426
46632,898

FAQ

What's the Least Common Multiple (LCM) of 46 and 49?

LCM of 46 and 49 is 2,254

How to find the LCM of 46 and 49 using prime factorization?

To find the LCM of 46 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,254.

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 46 and 49: LCM = 2,254, GCF = 1.

See Also