What is the Least Common Multiple of 73545 and 73552?

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 73545 and 73552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73545 and 73552, than apply into the LCM equation.

GCF(73545,73552) = 1
LCM(73545,73552) = ( 73545 × 73552) / 1
LCM(73545,73552) = 5409381840 / 1
LCM(73545,73552) = 5409381840

Least Common Multiple (LCM) of 73545 and 73552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73545 and 73552. First we will calculate the prime factors of 73545 and 73552.

Prime Factorization of 73545

Prime Factorization of 73552

Now multiplying the highest exponent prime factors to calculate the LCM of 73545 and 73552.

LCM(73545,73552) = 3¹ × 5¹ × 4903¹ × 2⁴ × 4597¹
LCM(73545,73552) = 5409381840