LCM for 49 and 50

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 49 and 50?

Answer

LCM of 49 and 50 is
2,450

First common multiples: 2,450; 4,900; 7,350; …

2,450 is divisible by both: 2,450 ÷ 49 = 50; 2,450 ÷ 50 = 49 — and 50 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 50 and of y/50 by 49.

49 and 50 are coprime (GCF = 1), so their LCM is simply the product: 49 × 50 = 2,450.

49 = 72

50 = 2 × 52

Prime4950Highest power
2—22
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 = 2 × 52 × 72 = 2,450

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
4935245
49361,764
49371,813
49381,862
49391,911
49401,960
49412,009
4942294
49432,107
49442,156
49452,205
49462,254
49472,303
49482,352
494949
49502,450
49512,499
49522,548
49532,597
49542,646
49552,695
4956392
49572,793
49582,842
49592,891
49602,940
49612,989
49623,038
4963441
49643,136

FAQ

What's the Least Common Multiple (LCM) of 49 and 50?

LCM of 49 and 50 is 2,450

How to find the LCM of 49 and 50 using prime factorization?

To find the LCM of 49 and 50, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,450.

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 50: LCM = 2,450, GCF = 1.

See Also