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What is the Least Common Multiple of 94540 and 94550?

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 94540 and 94550 is 893875700.

LCM(94540,94550) = 893875700

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Least Common Multiple of 94540 and 94550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94540 and 94550, than apply into the LCM equation.

GCF(94540,94550) = 10
LCM(94540,94550) = ( 94540 × 94550) / 10
LCM(94540,94550) = 8938757000 / 10
LCM(94540,94550) = 893875700

Least Common Multiple (LCM) of 94540 and 94550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94540 and 94550. First we will calculate the prime factors of 94540 and 94550.

Prime Factorization of 94540

Prime factors of 94540 are 2, 5, 29, 163. Prime factorization of 94540 in exponential form is:

94540 = 22 × 51 × 291 × 1631

Prime Factorization of 94550

Prime factors of 94550 are 2, 5, 31, 61. Prime factorization of 94550 in exponential form is:

94550 = 21 × 52 × 311 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 94540 and 94550.

LCM(94540,94550) = 22 × 52 × 291 × 1631 × 311 × 611
LCM(94540,94550) = 893875700