GCF and LCM Calculator Logo

What is the Least Common Multiple of 64475 and 64485?

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 64475 and 64485 is 831534075.

LCM(64475,64485) = 831534075

LCM Calculator and
and

Least Common Multiple of 64475 and 64485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64475 and 64485, than apply into the LCM equation.

GCF(64475,64485) = 5
LCM(64475,64485) = ( 64475 × 64485) / 5
LCM(64475,64485) = 4157670375 / 5
LCM(64475,64485) = 831534075

Least Common Multiple (LCM) of 64475 and 64485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64475 and 64485. First we will calculate the prime factors of 64475 and 64485.

Prime Factorization of 64475

Prime factors of 64475 are 5, 2579. Prime factorization of 64475 in exponential form is:

64475 = 52 × 25791

Prime Factorization of 64485

Prime factors of 64485 are 3, 5, 1433. Prime factorization of 64485 in exponential form is:

64485 = 32 × 51 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 64475 and 64485.

LCM(64475,64485) = 52 × 25791 × 32 × 14331
LCM(64475,64485) = 831534075