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What is the Least Common Multiple of 615 and 622?

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 615 and 622 is 382530.

LCM(615,622) = 382530

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Least Common Multiple of 615 and 622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 615 and 622, than apply into the LCM equation.

GCF(615,622) = 1
LCM(615,622) = ( 615 × 622) / 1
LCM(615,622) = 382530 / 1
LCM(615,622) = 382530

Least Common Multiple (LCM) of 615 and 622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 615 and 622. First we will calculate the prime factors of 615 and 622.

Prime Factorization of 615

Prime factors of 615 are 3, 5, 41. Prime factorization of 615 in exponential form is:

615 = 31 × 51 × 411

Prime Factorization of 622

Prime factors of 622 are 2, 311. Prime factorization of 622 in exponential form is:

622 = 21 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 615 and 622.

LCM(615,622) = 31 × 51 × 411 × 21 × 3111
LCM(615,622) = 382530