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What is the Least Common Multiple of 22937 and 22942?

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 22937 and 22942 is 526220654.

LCM(22937,22942) = 526220654

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Least Common Multiple of 22937 and 22942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22937 and 22942, than apply into the LCM equation.

GCF(22937,22942) = 1
LCM(22937,22942) = ( 22937 × 22942) / 1
LCM(22937,22942) = 526220654 / 1
LCM(22937,22942) = 526220654

Least Common Multiple (LCM) of 22937 and 22942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22937 and 22942. First we will calculate the prime factors of 22937 and 22942.

Prime Factorization of 22937

Prime factors of 22937 are 22937. Prime factorization of 22937 in exponential form is:

22937 = 229371

Prime Factorization of 22942

Prime factors of 22942 are 2, 11471. Prime factorization of 22942 in exponential form is:

22942 = 21 × 114711

Now multiplying the highest exponent prime factors to calculate the LCM of 22937 and 22942.

LCM(22937,22942) = 229371 × 21 × 114711
LCM(22937,22942) = 526220654