What is the Least Common Multiple of 64185 and 64205?

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 of 64185 and 64205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64185 and 64205, than apply into the LCM equation.

GCF(64185,64205) = 5
LCM(64185,64205) = ( 64185 × 64205) / 5
LCM(64185,64205) = 4120997925 / 5
LCM(64185,64205) = 824199585

Least Common Multiple (LCM) of 64185 and 64205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64185 and 64205. First we will calculate the prime factors of 64185 and 64205.

Prime Factorization of 64185

Prime Factorization of 64205

Now multiplying the highest exponent prime factors to calculate the LCM of 64185 and 64205.

LCM(64185,64205) = 3¹ × 5¹ × 11¹ × 389¹ × 12841¹
LCM(64185,64205) = 824199585