GCF and LCM Calculator Logo

What is the Least Common Multiple of 66739 and 66751?

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 66739 and 66751 is 4454894989.

LCM(66739,66751) = 4454894989

LCM Calculator and
and

Least Common Multiple of 66739 and 66751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66739 and 66751, than apply into the LCM equation.

GCF(66739,66751) = 1
LCM(66739,66751) = ( 66739 × 66751) / 1
LCM(66739,66751) = 4454894989 / 1
LCM(66739,66751) = 4454894989

Least Common Multiple (LCM) of 66739 and 66751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66739 and 66751. First we will calculate the prime factors of 66739 and 66751.

Prime Factorization of 66739

Prime factors of 66739 are 66739. Prime factorization of 66739 in exponential form is:

66739 = 667391

Prime Factorization of 66751

Prime factors of 66751 are 66751. Prime factorization of 66751 in exponential form is:

66751 = 667511

Now multiplying the highest exponent prime factors to calculate the LCM of 66739 and 66751.

LCM(66739,66751) = 667391 × 667511
LCM(66739,66751) = 4454894989