What is the Least Common Multiple of 72362 and 72379?

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 72362 and 72379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72362 and 72379, than apply into the LCM equation.

GCF(72362,72379) = 1
LCM(72362,72379) = ( 72362 × 72379) / 1
LCM(72362,72379) = 5237489198 / 1
LCM(72362,72379) = 5237489198

Least Common Multiple (LCM) of 72362 and 72379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72362 and 72379. First we will calculate the prime factors of 72362 and 72379.

Prime Factorization of 72362

Prime Factorization of 72379

Now multiplying the highest exponent prime factors to calculate the LCM of 72362 and 72379.

LCM(72362,72379) = 2¹ × 97¹ × 373¹ × 72379¹
LCM(72362,72379) = 5237489198