What is the Least Common Multiple of 63070 and 63075?

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 63070 and 63075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63070 and 63075, than apply into the LCM equation.

GCF(63070,63075) = 5
LCM(63070,63075) = ( 63070 × 63075) / 5
LCM(63070,63075) = 3978140250 / 5
LCM(63070,63075) = 795628050

Least Common Multiple (LCM) of 63070 and 63075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63070 and 63075. First we will calculate the prime factors of 63070 and 63075.

Prime Factorization of 63070

Prime Factorization of 63075

Now multiplying the highest exponent prime factors to calculate the LCM of 63070 and 63075.

LCM(63070,63075) = 2¹ × 5² × 7¹ × 17¹ × 53¹ × 3¹ × 29²
LCM(63070,63075) = 795628050