What is the Least Common Multiple of 64070 and 64075?

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 64070 and 64075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64070 and 64075, than apply into the LCM equation.

GCF(64070,64075) = 5
LCM(64070,64075) = ( 64070 × 64075) / 5
LCM(64070,64075) = 4105285250 / 5
LCM(64070,64075) = 821057050

Least Common Multiple (LCM) of 64070 and 64075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64070 and 64075. First we will calculate the prime factors of 64070 and 64075.

Prime Factorization of 64070

Prime Factorization of 64075

Now multiplying the highest exponent prime factors to calculate the LCM of 64070 and 64075.

LCM(64070,64075) = 2¹ × 5² × 43¹ × 149¹ × 11¹ × 233¹
LCM(64070,64075) = 821057050