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What is the Least Common Multiple of 52915 and 52922?

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 52915 and 52922 is 2800367630.

LCM(52915,52922) = 2800367630

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Least Common Multiple of 52915 and 52922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52915 and 52922, than apply into the LCM equation.

GCF(52915,52922) = 1
LCM(52915,52922) = ( 52915 × 52922) / 1
LCM(52915,52922) = 2800367630 / 1
LCM(52915,52922) = 2800367630

Least Common Multiple (LCM) of 52915 and 52922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52915 and 52922. First we will calculate the prime factors of 52915 and 52922.

Prime Factorization of 52915

Prime factors of 52915 are 5, 19, 557. Prime factorization of 52915 in exponential form is:

52915 = 51 × 191 × 5571

Prime Factorization of 52922

Prime factors of 52922 are 2, 47, 563. Prime factorization of 52922 in exponential form is:

52922 = 21 × 471 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 52915 and 52922.

LCM(52915,52922) = 51 × 191 × 5571 × 21 × 471 × 5631
LCM(52915,52922) = 2800367630