What is the Least Common Multiple of 73440 and 73458?

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 73440 and 73458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73440 and 73458, than apply into the LCM equation.

GCF(73440,73458) = 18
LCM(73440,73458) = ( 73440 × 73458) / 18
LCM(73440,73458) = 5394755520 / 18
LCM(73440,73458) = 299708640

Least Common Multiple (LCM) of 73440 and 73458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73440 and 73458. First we will calculate the prime factors of 73440 and 73458.

Prime Factorization of 73440

Prime Factorization of 73458

Now multiplying the highest exponent prime factors to calculate the LCM of 73440 and 73458.

LCM(73440,73458) = 2⁵ × 3³ × 5¹ × 17¹ × 7¹ × 11¹ × 53¹
LCM(73440,73458) = 299708640