What is the Least Common Multiple of 72900 and 72919?

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 72900 and 72919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72900 and 72919, than apply into the LCM equation.

GCF(72900,72919) = 1
LCM(72900,72919) = ( 72900 × 72919) / 1
LCM(72900,72919) = 5315795100 / 1
LCM(72900,72919) = 5315795100

Least Common Multiple (LCM) of 72900 and 72919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72900 and 72919. First we will calculate the prime factors of 72900 and 72919.

Prime Factorization of 72900

Prime Factorization of 72919

Now multiplying the highest exponent prime factors to calculate the LCM of 72900 and 72919.

LCM(72900,72919) = 2² × 3⁶ × 5² × 7¹ × 11¹ × 947¹
LCM(72900,72919) = 5315795100