What is the Least Common Multiple of 73464 and 73480?

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 73464 and 73480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73464 and 73480, than apply into the LCM equation.

GCF(73464,73480) = 8
LCM(73464,73480) = ( 73464 × 73480) / 8
LCM(73464,73480) = 5398134720 / 8
LCM(73464,73480) = 674766840

Least Common Multiple (LCM) of 73464 and 73480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73464 and 73480. First we will calculate the prime factors of 73464 and 73480.

Prime Factorization of 73464

Prime Factorization of 73480

Now multiplying the highest exponent prime factors to calculate the LCM of 73464 and 73480.

LCM(73464,73480) = 2³ × 3¹ × 3061¹ × 5¹ × 11¹ × 167¹
LCM(73464,73480) = 674766840