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What is the Least Common Multiple of 49620 and 49625?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 49620 and 49625 is 492478500.

LCM(49620,49625) = 492478500

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Least Common Multiple of 49620 and 49625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49620 and 49625, than apply into the LCM equation.

GCF(49620,49625) = 5
LCM(49620,49625) = ( 49620 × 49625) / 5
LCM(49620,49625) = 2462392500 / 5
LCM(49620,49625) = 492478500

Least Common Multiple (LCM) of 49620 and 49625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49620 and 49625. First we will calculate the prime factors of 49620 and 49625.

Prime Factorization of 49620

Prime factors of 49620 are 2, 3, 5, 827. Prime factorization of 49620 in exponential form is:

49620 = 22 × 31 × 51 × 8271

Prime Factorization of 49625

Prime factors of 49625 are 5, 397. Prime factorization of 49625 in exponential form is:

49625 = 53 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 49620 and 49625.

LCM(49620,49625) = 22 × 31 × 53 × 8271 × 3971
LCM(49620,49625) = 492478500