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What is the Least Common Multiple of 73551 and 73571?

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 73551 and 73571 is 5411220621.

LCM(73551,73571) = 5411220621

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Least Common Multiple of 73551 and 73571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73551 and 73571, than apply into the LCM equation.

GCF(73551,73571) = 1
LCM(73551,73571) = ( 73551 × 73571) / 1
LCM(73551,73571) = 5411220621 / 1
LCM(73551,73571) = 5411220621

Least Common Multiple (LCM) of 73551 and 73571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73551 and 73571. First we will calculate the prime factors of 73551 and 73571.

Prime Factorization of 73551

Prime factors of 73551 are 3, 24517. Prime factorization of 73551 in exponential form is:

73551 = 31 × 245171

Prime Factorization of 73571

Prime factors of 73571 are 73571. Prime factorization of 73571 in exponential form is:

73571 = 735711

Now multiplying the highest exponent prime factors to calculate the LCM of 73551 and 73571.

LCM(73551,73571) = 31 × 245171 × 735711
LCM(73551,73571) = 5411220621