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What is the Least Common Multiple of 66716 and 66729?

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 66716 and 66729 is 342453228.

LCM(66716,66729) = 342453228

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Least Common Multiple of 66716 and 66729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66716 and 66729, than apply into the LCM equation.

GCF(66716,66729) = 13
LCM(66716,66729) = ( 66716 × 66729) / 13
LCM(66716,66729) = 4451891964 / 13
LCM(66716,66729) = 342453228

Least Common Multiple (LCM) of 66716 and 66729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66716 and 66729. First we will calculate the prime factors of 66716 and 66729.

Prime Factorization of 66716

Prime factors of 66716 are 2, 13, 1283. Prime factorization of 66716 in exponential form is:

66716 = 22 × 131 × 12831

Prime Factorization of 66729

Prime factors of 66729 are 3, 13, 29, 59. Prime factorization of 66729 in exponential form is:

66729 = 31 × 131 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 66716 and 66729.

LCM(66716,66729) = 22 × 131 × 12831 × 31 × 291 × 591
LCM(66716,66729) = 342453228