LCM for 49 and 100

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What's the Least Common Multiple (LCM) of 49 and 100?

Answer

LCM of 49 and 100 is
4,900

First common multiples: 4,900; 9,800; 14,700; …

4,900 is divisible by both: 4,900 ÷ 49 = 100; 4,900 ÷ 100 = 49 — and 100 and 49 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/49 by 100 and of y/100 by 49.

49 and 100 are coprime (GCF = 1), so their LCM is simply the product: 49 × 100 = 4,900.

49 = 72

100 = 22 × 52

Prime49100Highest power
2—2222
5—5252
772—72

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

LCM = 22 × 52 × 72 = 4,900

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LCM Table

Number 1Number 2LCM
49854,165
49864,214
49874,263
49884,312
49894,361
49904,410
4991637
49924,508
49934,557
49944,606
49954,655
49964,704
49974,753
499898
49994,851
491004,900
491014,949
491024,998
491035,047
491045,096
49105735
491065,194
491075,243
491085,292
491095,341
491105,390
491115,439
49112784
491135,537
491145,586

FAQ

What's the Least Common Multiple (LCM) of 49 and 100?

LCM of 49 and 100 is 4,900

How to find the LCM of 49 and 100 using prime factorization?

To find the LCM of 49 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,900.

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 49 and 100: LCM = 4,900, GCF = 1.

See Also