What is the Least Common Multiple of 64050 and 64070?

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 64050 and 64070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64050 and 64070, than apply into the LCM equation.

GCF(64050,64070) = 10
LCM(64050,64070) = ( 64050 × 64070) / 10
LCM(64050,64070) = 4103683500 / 10
LCM(64050,64070) = 410368350

Least Common Multiple (LCM) of 64050 and 64070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64050 and 64070. First we will calculate the prime factors of 64050 and 64070.

Prime Factorization of 64050

Prime Factorization of 64070

Now multiplying the highest exponent prime factors to calculate the LCM of 64050 and 64070.

LCM(64050,64070) = 2¹ × 3¹ × 5² × 7¹ × 61¹ × 43¹ × 149¹
LCM(64050,64070) = 410368350