What is the Least Common Multiple of 73604 and 73609?

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 73604 and 73609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73604 and 73609, than apply into the LCM equation.

GCF(73604,73609) = 1
LCM(73604,73609) = ( 73604 × 73609) / 1
LCM(73604,73609) = 5417916836 / 1
LCM(73604,73609) = 5417916836

Least Common Multiple (LCM) of 73604 and 73609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73604 and 73609. First we will calculate the prime factors of 73604 and 73609.

Prime Factorization of 73604

Prime Factorization of 73609

Now multiplying the highest exponent prime factors to calculate the LCM of 73604 and 73609.

LCM(73604,73609) = 2² × 18401¹ × 73609¹
LCM(73604,73609) = 5417916836