What is the Least Common Multiple of 73536 and 73545?

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 73536 and 73545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73536 and 73545, than apply into the LCM equation.

GCF(73536,73545) = 3
LCM(73536,73545) = ( 73536 × 73545) / 3
LCM(73536,73545) = 5408205120 / 3
LCM(73536,73545) = 1802735040

Least Common Multiple (LCM) of 73536 and 73545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73536 and 73545. First we will calculate the prime factors of 73536 and 73545.

Prime Factorization of 73536

Prime Factorization of 73545

Now multiplying the highest exponent prime factors to calculate the LCM of 73536 and 73545.

LCM(73536,73545) = 2⁶ × 3¹ × 383¹ × 5¹ × 4903¹
LCM(73536,73545) = 1802735040