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What is the Least Common Multiple of 94546 and 94552?

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 94552 is 4469756696.

LCM(94546,94552) = 4469756696

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Least Common Multiple of 94546 and 94552 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 94552, than apply into the LCM equation.

GCF(94546,94552) = 2
LCM(94546,94552) = ( 94546 × 94552) / 2
LCM(94546,94552) = 8939513392 / 2
LCM(94546,94552) = 4469756696

Least Common Multiple (LCM) of 94546 and 94552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94546 and 94552. First we will calculate the prime factors of 94546 and 94552.

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 94552

Prime factors of 94552 are 2, 53, 223. Prime factorization of 94552 in exponential form is:

94552 = 23 × 531 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 94546 and 94552.

LCM(94546,94552) = 23 × 411 × 11531 × 531 × 2231
LCM(94546,94552) = 4469756696