GCF and LCM Calculator Logo

What is the Least Common Multiple of 64186 and 64194?

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 64186 and 64194 is 2060178042.

LCM(64186,64194) = 2060178042

LCM Calculator and
and

Least Common Multiple of 64186 and 64194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64186 and 64194, than apply into the LCM equation.

GCF(64186,64194) = 2
LCM(64186,64194) = ( 64186 × 64194) / 2
LCM(64186,64194) = 4120356084 / 2
LCM(64186,64194) = 2060178042

Least Common Multiple (LCM) of 64186 and 64194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64186 and 64194. First we will calculate the prime factors of 64186 and 64194.

Prime Factorization of 64186

Prime factors of 64186 are 2, 67, 479. Prime factorization of 64186 in exponential form is:

64186 = 21 × 671 × 4791

Prime Factorization of 64194

Prime factors of 64194 are 2, 3, 13, 823. Prime factorization of 64194 in exponential form is:

64194 = 21 × 31 × 131 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 64186 and 64194.

LCM(64186,64194) = 21 × 671 × 4791 × 31 × 131 × 8231
LCM(64186,64194) = 2060178042