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What is the Least Common Multiple of 94037 and 94054?

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 94054 is 8844555998.

LCM(94037,94054) = 8844555998

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Least Common Multiple of 94037 and 94054 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 94054, than apply into the LCM equation.

GCF(94037,94054) = 1
LCM(94037,94054) = ( 94037 × 94054) / 1
LCM(94037,94054) = 8844555998 / 1
LCM(94037,94054) = 8844555998

Least Common Multiple (LCM) of 94037 and 94054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94037 and 94054. First we will calculate the prime factors of 94037 and 94054.

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 94054

Prime factors of 94054 are 2, 31, 37, 41. Prime factorization of 94054 in exponential form is:

94054 = 21 × 311 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 94037 and 94054.

LCM(94037,94054) = 2711 × 3471 × 21 × 311 × 371 × 411
LCM(94037,94054) = 8844555998