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What is the Least Common Multiple of 94530 and 94536?

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 94530 and 94536 is 1489414680.

LCM(94530,94536) = 1489414680

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Least Common Multiple of 94530 and 94536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94530 and 94536, than apply into the LCM equation.

GCF(94530,94536) = 6
LCM(94530,94536) = ( 94530 × 94536) / 6
LCM(94530,94536) = 8936488080 / 6
LCM(94530,94536) = 1489414680

Least Common Multiple (LCM) of 94530 and 94536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94530 and 94536. First we will calculate the prime factors of 94530 and 94536.

Prime Factorization of 94530

Prime factors of 94530 are 2, 3, 5, 23, 137. Prime factorization of 94530 in exponential form is:

94530 = 21 × 31 × 51 × 231 × 1371

Prime Factorization of 94536

Prime factors of 94536 are 2, 3, 13, 101. Prime factorization of 94536 in exponential form is:

94536 = 23 × 32 × 131 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 94530 and 94536.

LCM(94530,94536) = 23 × 32 × 51 × 231 × 1371 × 131 × 1011
LCM(94530,94536) = 1489414680