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What is the Least Common Multiple of 50612 and 50622?

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 50612 and 50622 is 1281040332.

LCM(50612,50622) = 1281040332

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Least Common Multiple of 50612 and 50622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50612 and 50622, than apply into the LCM equation.

GCF(50612,50622) = 2
LCM(50612,50622) = ( 50612 × 50622) / 2
LCM(50612,50622) = 2562080664 / 2
LCM(50612,50622) = 1281040332

Least Common Multiple (LCM) of 50612 and 50622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50612 and 50622. First we will calculate the prime factors of 50612 and 50622.

Prime Factorization of 50612

Prime factors of 50612 are 2, 12653. Prime factorization of 50612 in exponential form is:

50612 = 22 × 126531

Prime Factorization of 50622

Prime factors of 50622 are 2, 3, 11, 13, 59. Prime factorization of 50622 in exponential form is:

50622 = 21 × 31 × 111 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 50612 and 50622.

LCM(50612,50622) = 22 × 126531 × 31 × 111 × 131 × 591
LCM(50612,50622) = 1281040332