What is the Least Common Multiple of 64205 and 64225?

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 64205 and 64225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64205 and 64225, than apply into the LCM equation.

GCF(64205,64225) = 5
LCM(64205,64225) = ( 64205 × 64225) / 5
LCM(64205,64225) = 4123566125 / 5
LCM(64205,64225) = 824713225

Least Common Multiple (LCM) of 64205 and 64225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64205 and 64225. First we will calculate the prime factors of 64205 and 64225.

Prime Factorization of 64205

Prime Factorization of 64225

Now multiplying the highest exponent prime factors to calculate the LCM of 64205 and 64225.

LCM(64205,64225) = 5² × 12841¹ × 7¹ × 367¹
LCM(64205,64225) = 824713225