What is the Least Common Multiple of 73472 and 73483?

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 73472 and 73483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73472 and 73483, than apply into the LCM equation.

GCF(73472,73483) = 1
LCM(73472,73483) = ( 73472 × 73483) / 1
LCM(73472,73483) = 5398942976 / 1
LCM(73472,73483) = 5398942976

Least Common Multiple (LCM) of 73472 and 73483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73472 and 73483. First we will calculate the prime factors of 73472 and 73483.

Prime Factorization of 73472

Prime Factorization of 73483

Now multiplying the highest exponent prime factors to calculate the LCM of 73472 and 73483.

LCM(73472,73483) = 2⁸ × 7¹ × 41¹ × 73483¹
LCM(73472,73483) = 5398942976