What is the Least Common Multiple of 73458 and 73464?

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 73464 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 73464, than apply into the LCM equation.

GCF(73458,73464) = 6
LCM(73458,73464) = ( 73458 × 73464) / 6
LCM(73458,73464) = 5396518512 / 6
LCM(73458,73464) = 899419752

Least Common Multiple (LCM) of 73458 and 73464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73458 and 73464. First we will calculate the prime factors of 73458 and 73464.

Prime Factorization of 73458

Prime Factorization of 73464

Now multiplying the highest exponent prime factors to calculate the LCM of 73458 and 73464.

LCM(73458,73464) = 2³ × 3² × 7¹ × 11¹ × 53¹ × 3061¹
LCM(73458,73464) = 899419752