What is the Least Common Multiple of 64140 and 64150?

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 64140 and 64150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64140 and 64150, than apply into the LCM equation.

GCF(64140,64150) = 10
LCM(64140,64150) = ( 64140 × 64150) / 10
LCM(64140,64150) = 4114581000 / 10
LCM(64140,64150) = 411458100

Least Common Multiple (LCM) of 64140 and 64150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64140 and 64150. First we will calculate the prime factors of 64140 and 64150.

Prime Factorization of 64140

Prime Factorization of 64150

Now multiplying the highest exponent prime factors to calculate the LCM of 64140 and 64150.

LCM(64140,64150) = 2² × 3¹ × 5² × 1069¹ × 1283¹
LCM(64140,64150) = 411458100