What is the Least Common Multiple of 73635 and 73651?

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 73635 and 73651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73635 and 73651, than apply into the LCM equation.

GCF(73635,73651) = 1
LCM(73635,73651) = ( 73635 × 73651) / 1
LCM(73635,73651) = 5423291385 / 1
LCM(73635,73651) = 5423291385

Least Common Multiple (LCM) of 73635 and 73651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73635 and 73651. First we will calculate the prime factors of 73635 and 73651.

Prime Factorization of 73635

Prime Factorization of 73651

Now multiplying the highest exponent prime factors to calculate the LCM of 73635 and 73651.

LCM(73635,73651) = 3¹ × 5¹ × 4909¹ × 73651¹
LCM(73635,73651) = 5423291385