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What is the Least Common Multiple of 66712 and 66722?

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 66712 and 66722 is 2225579032.

LCM(66712,66722) = 2225579032

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Least Common Multiple of 66712 and 66722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66712 and 66722, than apply into the LCM equation.

GCF(66712,66722) = 2
LCM(66712,66722) = ( 66712 × 66722) / 2
LCM(66712,66722) = 4451158064 / 2
LCM(66712,66722) = 2225579032

Least Common Multiple (LCM) of 66712 and 66722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66712 and 66722. First we will calculate the prime factors of 66712 and 66722.

Prime Factorization of 66712

Prime factors of 66712 are 2, 31, 269. Prime factorization of 66712 in exponential form is:

66712 = 23 × 311 × 2691

Prime Factorization of 66722

Prime factors of 66722 are 2, 73, 457. Prime factorization of 66722 in exponential form is:

66722 = 21 × 731 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 66712 and 66722.

LCM(66712,66722) = 23 × 311 × 2691 × 731 × 4571
LCM(66712,66722) = 2225579032