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What is the Least Common Multiple of 66736 and 66746?

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 66736 and 66746 is 2227180528.

LCM(66736,66746) = 2227180528

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Least Common Multiple of 66736 and 66746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66736 and 66746, than apply into the LCM equation.

GCF(66736,66746) = 2
LCM(66736,66746) = ( 66736 × 66746) / 2
LCM(66736,66746) = 4454361056 / 2
LCM(66736,66746) = 2227180528

Least Common Multiple (LCM) of 66736 and 66746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66736 and 66746. First we will calculate the prime factors of 66736 and 66746.

Prime Factorization of 66736

Prime factors of 66736 are 2, 43, 97. Prime factorization of 66736 in exponential form is:

66736 = 24 × 431 × 971

Prime Factorization of 66746

Prime factors of 66746 are 2, 23, 1451. Prime factorization of 66746 in exponential form is:

66746 = 21 × 231 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 66736 and 66746.

LCM(66736,66746) = 24 × 431 × 971 × 231 × 14511
LCM(66736,66746) = 2227180528