What is the Least Common Multiple of 64170 and 64188?

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 64170 and 64188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64170 and 64188, than apply into the LCM equation.

GCF(64170,64188) = 18
LCM(64170,64188) = ( 64170 × 64188) / 18
LCM(64170,64188) = 4118943960 / 18
LCM(64170,64188) = 228830220

Least Common Multiple (LCM) of 64170 and 64188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64170 and 64188. First we will calculate the prime factors of 64170 and 64188.

Prime Factorization of 64170

Prime Factorization of 64188

Now multiplying the highest exponent prime factors to calculate the LCM of 64170 and 64188.

LCM(64170,64188) = 2² × 3² × 5¹ × 23¹ × 31¹ × 1783¹
LCM(64170,64188) = 228830220