What is the Least Common Multiple of 72051 and 72063?

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 72051 and 72063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72051 and 72063, than apply into the LCM equation.

GCF(72051,72063) = 3
LCM(72051,72063) = ( 72051 × 72063) / 3
LCM(72051,72063) = 5192211213 / 3
LCM(72051,72063) = 1730737071

Least Common Multiple (LCM) of 72051 and 72063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72051 and 72063. First we will calculate the prime factors of 72051 and 72063.

Prime Factorization of 72051

Prime Factorization of 72063

Now multiplying the highest exponent prime factors to calculate the LCM of 72051 and 72063.

LCM(72051,72063) = 3³ × 7¹ × 47¹ × 73¹ × 17¹ × 157¹
LCM(72051,72063) = 1730737071