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What is the Least Common Multiple of 94548 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 94548 and 94553 is 8939797044.

LCM(94548,94553) = 8939797044

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Least Common Multiple of 94548 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 94548 and 94553, than apply into the LCM equation.

GCF(94548,94553) = 1
LCM(94548,94553) = ( 94548 × 94553) / 1
LCM(94548,94553) = 8939797044 / 1
LCM(94548,94553) = 8939797044

Least Common Multiple (LCM) of 94548 and 94553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94548 and 94553. First we will calculate the prime factors of 94548 and 94553.

Prime Factorization of 94548

Prime factors of 94548 are 2, 3, 7879. Prime factorization of 94548 in exponential form is:

94548 = 22 × 31 × 78791

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 94548 and 94553.

LCM(94548,94553) = 22 × 31 × 78791 × 231 × 41111
LCM(94548,94553) = 8939797044