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What is the Least Common Multiple of 94037 and 94045?

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 94037 and 94045 is 8843709665.

LCM(94037,94045) = 8843709665

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Least Common Multiple of 94037 and 94045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94037 and 94045, than apply into the LCM equation.

GCF(94037,94045) = 1
LCM(94037,94045) = ( 94037 × 94045) / 1
LCM(94037,94045) = 8843709665 / 1
LCM(94037,94045) = 8843709665

Least Common Multiple (LCM) of 94037 and 94045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94037 and 94045. First we will calculate the prime factors of 94037 and 94045.

Prime Factorization of 94037

Prime factors of 94037 are 271, 347. Prime factorization of 94037 in exponential form is:

94037 = 2711 × 3471

Prime Factorization of 94045

Prime factors of 94045 are 5, 7, 2687. Prime factorization of 94045 in exponential form is:

94045 = 51 × 71 × 26871

Now multiplying the highest exponent prime factors to calculate the LCM of 94037 and 94045.

LCM(94037,94045) = 2711 × 3471 × 51 × 71 × 26871
LCM(94037,94045) = 8843709665