GCF and LCM Calculator Logo

What is the Least Common Multiple of 64684 and 64699?

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 64684 and 64699 is 4184990116.

LCM(64684,64699) = 4184990116

LCM Calculator and
and

Least Common Multiple of 64684 and 64699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64684 and 64699, than apply into the LCM equation.

GCF(64684,64699) = 1
LCM(64684,64699) = ( 64684 × 64699) / 1
LCM(64684,64699) = 4184990116 / 1
LCM(64684,64699) = 4184990116

Least Common Multiple (LCM) of 64684 and 64699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64684 and 64699. First we will calculate the prime factors of 64684 and 64699.

Prime Factorization of 64684

Prime factors of 64684 are 2, 103, 157. Prime factorization of 64684 in exponential form is:

64684 = 22 × 1031 × 1571

Prime Factorization of 64699

Prime factors of 64699 are 23, 29, 97. Prime factorization of 64699 in exponential form is:

64699 = 231 × 291 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 64684 and 64699.

LCM(64684,64699) = 22 × 1031 × 1571 × 231 × 291 × 971
LCM(64684,64699) = 4184990116