What is the Least Common Multiple of 72502 and 72509?

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 72502 and 72509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72502 and 72509, than apply into the LCM equation.

GCF(72502,72509) = 1
LCM(72502,72509) = ( 72502 × 72509) / 1
LCM(72502,72509) = 5257047518 / 1
LCM(72502,72509) = 5257047518

Least Common Multiple (LCM) of 72502 and 72509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72502 and 72509. First we will calculate the prime factors of 72502 and 72509.

Prime Factorization of 72502

Prime Factorization of 72509

Now multiplying the highest exponent prime factors to calculate the LCM of 72502 and 72509.

LCM(72502,72509) = 2¹ × 36251¹ × 31¹ × 2339¹
LCM(72502,72509) = 5257047518