What is the Least Common Multiple of 72600 and 72619?

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 72600 and 72619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72600 and 72619, than apply into the LCM equation.

GCF(72600,72619) = 1
LCM(72600,72619) = ( 72600 × 72619) / 1
LCM(72600,72619) = 5272139400 / 1
LCM(72600,72619) = 5272139400

Least Common Multiple (LCM) of 72600 and 72619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72600 and 72619. First we will calculate the prime factors of 72600 and 72619.

Prime Factorization of 72600

Prime Factorization of 72619

Now multiplying the highest exponent prime factors to calculate the LCM of 72600 and 72619.

LCM(72600,72619) = 2³ × 3¹ × 5² × 11² × 101¹ × 719¹
LCM(72600,72619) = 5272139400