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What is the Least Common Multiple of 42915 and 42922?

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 42915 and 42922 is 1841997630.

LCM(42915,42922) = 1841997630

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Least Common Multiple of 42915 and 42922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42915 and 42922, than apply into the LCM equation.

GCF(42915,42922) = 1
LCM(42915,42922) = ( 42915 × 42922) / 1
LCM(42915,42922) = 1841997630 / 1
LCM(42915,42922) = 1841997630

Least Common Multiple (LCM) of 42915 and 42922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42915 and 42922. First we will calculate the prime factors of 42915 and 42922.

Prime Factorization of 42915

Prime factors of 42915 are 3, 5, 2861. Prime factorization of 42915 in exponential form is:

42915 = 31 × 51 × 28611

Prime Factorization of 42922

Prime factors of 42922 are 2, 11, 1951. Prime factorization of 42922 in exponential form is:

42922 = 21 × 111 × 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 42915 and 42922.

LCM(42915,42922) = 31 × 51 × 28611 × 21 × 111 × 19511
LCM(42915,42922) = 1841997630