What is the Least Common Multiple of 73609 and 73628?

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 73609 and 73628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73609 and 73628, than apply into the LCM equation.

GCF(73609,73628) = 1
LCM(73609,73628) = ( 73609 × 73628) / 1
LCM(73609,73628) = 5419683452 / 1
LCM(73609,73628) = 5419683452

Least Common Multiple (LCM) of 73609 and 73628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73609 and 73628. First we will calculate the prime factors of 73609 and 73628.

Prime Factorization of 73609

Prime Factorization of 73628

Now multiplying the highest exponent prime factors to calculate the LCM of 73609 and 73628.

LCM(73609,73628) = 73609¹ × 2² × 79¹ × 233¹
LCM(73609,73628) = 5419683452