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What is the Least Common Multiple of 76620 and 76625?

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 76620 and 76625 is 1174201500.

LCM(76620,76625) = 1174201500

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Least Common Multiple of 76620 and 76625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76620 and 76625, than apply into the LCM equation.

GCF(76620,76625) = 5
LCM(76620,76625) = ( 76620 × 76625) / 5
LCM(76620,76625) = 5871007500 / 5
LCM(76620,76625) = 1174201500

Least Common Multiple (LCM) of 76620 and 76625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76620 and 76625. First we will calculate the prime factors of 76620 and 76625.

Prime Factorization of 76620

Prime factors of 76620 are 2, 3, 5, 1277. Prime factorization of 76620 in exponential form is:

76620 = 22 × 31 × 51 × 12771

Prime Factorization of 76625

Prime factors of 76625 are 5, 613. Prime factorization of 76625 in exponential form is:

76625 = 53 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 76620 and 76625.

LCM(76620,76625) = 22 × 31 × 53 × 12771 × 6131
LCM(76620,76625) = 1174201500