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What is the Least Common Multiple of 94538 and 94553?

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 94538 and 94553 is 8938851514.

LCM(94538,94553) = 8938851514

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Least Common Multiple of 94538 and 94553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94538 and 94553, than apply into the LCM equation.

GCF(94538,94553) = 1
LCM(94538,94553) = ( 94538 × 94553) / 1
LCM(94538,94553) = 8938851514 / 1
LCM(94538,94553) = 8938851514

Least Common Multiple (LCM) of 94538 and 94553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94538 and 94553. First we will calculate the prime factors of 94538 and 94553.

Prime Factorization of 94538

Prime factors of 94538 are 2, 47269. Prime factorization of 94538 in exponential form is:

94538 = 21 × 472691

Prime Factorization of 94553

Prime factors of 94553 are 23, 4111. Prime factorization of 94553 in exponential form is:

94553 = 231 × 41111

Now multiplying the highest exponent prime factors to calculate the LCM of 94538 and 94553.

LCM(94538,94553) = 21 × 472691 × 231 × 41111
LCM(94538,94553) = 8938851514