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What is the Least Common Multiple of 94546 and 94555?

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 94546 and 94555 is 8939797030.

LCM(94546,94555) = 8939797030

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Least Common Multiple of 94546 and 94555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94546 and 94555, than apply into the LCM equation.

GCF(94546,94555) = 1
LCM(94546,94555) = ( 94546 × 94555) / 1
LCM(94546,94555) = 8939797030 / 1
LCM(94546,94555) = 8939797030

Least Common Multiple (LCM) of 94546 and 94555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94546 and 94555. First we will calculate the prime factors of 94546 and 94555.

Prime Factorization of 94546

Prime factors of 94546 are 2, 41, 1153. Prime factorization of 94546 in exponential form is:

94546 = 21 × 411 × 11531

Prime Factorization of 94555

Prime factors of 94555 are 5, 18911. Prime factorization of 94555 in exponential form is:

94555 = 51 × 189111

Now multiplying the highest exponent prime factors to calculate the LCM of 94546 and 94555.

LCM(94546,94555) = 21 × 411 × 11531 × 51 × 189111
LCM(94546,94555) = 8939797030