GCF and LCM Calculator Logo

What is the Least Common Multiple of 66358 and 66376?

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 66358 and 66376 is 2202289304.

LCM(66358,66376) = 2202289304

LCM Calculator and
and

Least Common Multiple of 66358 and 66376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66358 and 66376, than apply into the LCM equation.

GCF(66358,66376) = 2
LCM(66358,66376) = ( 66358 × 66376) / 2
LCM(66358,66376) = 4404578608 / 2
LCM(66358,66376) = 2202289304

Least Common Multiple (LCM) of 66358 and 66376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66358 and 66376. First we will calculate the prime factors of 66358 and 66376.

Prime Factorization of 66358

Prime factors of 66358 are 2, 33179. Prime factorization of 66358 in exponential form is:

66358 = 21 × 331791

Prime Factorization of 66376

Prime factors of 66376 are 2, 8297. Prime factorization of 66376 in exponential form is:

66376 = 23 × 82971

Now multiplying the highest exponent prime factors to calculate the LCM of 66358 and 66376.

LCM(66358,66376) = 23 × 331791 × 82971
LCM(66358,66376) = 2202289304