GCF and LCM Calculator Logo

What is the Least Common Multiple of 64626 and 64630?

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 64626 and 64630 is 2088389190.

LCM(64626,64630) = 2088389190

LCM Calculator and
and

Least Common Multiple of 64626 and 64630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64626 and 64630, than apply into the LCM equation.

GCF(64626,64630) = 2
LCM(64626,64630) = ( 64626 × 64630) / 2
LCM(64626,64630) = 4176778380 / 2
LCM(64626,64630) = 2088389190

Least Common Multiple (LCM) of 64626 and 64630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64626 and 64630. First we will calculate the prime factors of 64626 and 64630.

Prime Factorization of 64626

Prime factors of 64626 are 2, 3, 10771. Prime factorization of 64626 in exponential form is:

64626 = 21 × 31 × 107711

Prime Factorization of 64630

Prime factors of 64630 are 2, 5, 23, 281. Prime factorization of 64630 in exponential form is:

64630 = 21 × 51 × 231 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 64626 and 64630.

LCM(64626,64630) = 21 × 31 × 107711 × 51 × 231 × 2811
LCM(64626,64630) = 2088389190