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What is the Least Common Multiple of 66718 and 66728?

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 66718 and 66728 is 2225979352.

LCM(66718,66728) = 2225979352

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Least Common Multiple of 66718 and 66728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66718 and 66728, than apply into the LCM equation.

GCF(66718,66728) = 2
LCM(66718,66728) = ( 66718 × 66728) / 2
LCM(66718,66728) = 4451958704 / 2
LCM(66718,66728) = 2225979352

Least Common Multiple (LCM) of 66718 and 66728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66718 and 66728. First we will calculate the prime factors of 66718 and 66728.

Prime Factorization of 66718

Prime factors of 66718 are 2, 33359. Prime factorization of 66718 in exponential form is:

66718 = 21 × 333591

Prime Factorization of 66728

Prime factors of 66728 are 2, 19, 439. Prime factorization of 66728 in exponential form is:

66728 = 23 × 191 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 66718 and 66728.

LCM(66718,66728) = 23 × 333591 × 191 × 4391
LCM(66718,66728) = 2225979352