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What is the Least Common Multiple of 94057 and 94062?

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 94057 and 94062 is 8847189534.

LCM(94057,94062) = 8847189534

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Least Common Multiple of 94057 and 94062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94057 and 94062, than apply into the LCM equation.

GCF(94057,94062) = 1
LCM(94057,94062) = ( 94057 × 94062) / 1
LCM(94057,94062) = 8847189534 / 1
LCM(94057,94062) = 8847189534

Least Common Multiple (LCM) of 94057 and 94062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94057 and 94062. First we will calculate the prime factors of 94057 and 94062.

Prime Factorization of 94057

Prime factors of 94057 are 94057. Prime factorization of 94057 in exponential form is:

94057 = 940571

Prime Factorization of 94062

Prime factors of 94062 are 2, 3, 61, 257. Prime factorization of 94062 in exponential form is:

94062 = 21 × 31 × 611 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 94057 and 94062.

LCM(94057,94062) = 940571 × 21 × 31 × 611 × 2571
LCM(94057,94062) = 8847189534