What is the Least Common Multiple of 72310 and 72321?

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 72310 and 72321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72310 and 72321, than apply into the LCM equation.

GCF(72310,72321) = 1
LCM(72310,72321) = ( 72310 × 72321) / 1
LCM(72310,72321) = 5229531510 / 1
LCM(72310,72321) = 5229531510

Least Common Multiple (LCM) of 72310 and 72321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72310 and 72321. First we will calculate the prime factors of 72310 and 72321.

Prime Factorization of 72310

Prime Factorization of 72321

Now multiplying the highest exponent prime factors to calculate the LCM of 72310 and 72321.

LCM(72310,72321) = 2¹ × 5¹ × 7¹ × 1033¹ × 3¹ × 24107¹
LCM(72310,72321) = 5229531510