What is the Least Common Multiple of 72570 and 72590?

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 72570 and 72590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72570 and 72590, than apply into the LCM equation.

GCF(72570,72590) = 10
LCM(72570,72590) = ( 72570 × 72590) / 10
LCM(72570,72590) = 5267856300 / 10
LCM(72570,72590) = 526785630

Least Common Multiple (LCM) of 72570 and 72590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72570 and 72590. First we will calculate the prime factors of 72570 and 72590.

Prime Factorization of 72570

Prime Factorization of 72590

Now multiplying the highest exponent prime factors to calculate the LCM of 72570 and 72590.

LCM(72570,72590) = 2¹ × 3¹ × 5¹ × 41¹ × 59¹ × 7¹ × 17¹ × 61¹
LCM(72570,72590) = 526785630