What is the Least Common Multiple of 73458 and 73472?

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 73458 and 73472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73458 and 73472, than apply into the LCM equation.

GCF(73458,73472) = 14
LCM(73458,73472) = ( 73458 × 73472) / 14
LCM(73458,73472) = 5397106176 / 14
LCM(73458,73472) = 385507584

Least Common Multiple (LCM) of 73458 and 73472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73458 and 73472. First we will calculate the prime factors of 73458 and 73472.

Prime Factorization of 73458

Prime Factorization of 73472

Now multiplying the highest exponent prime factors to calculate the LCM of 73458 and 73472.

LCM(73458,73472) = 2⁸ × 3² × 7¹ × 11¹ × 53¹ × 41¹
LCM(73458,73472) = 385507584