What is the Least Common Multiple of 73641 and 73647?

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 73641 and 73647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73641 and 73647, than apply into the LCM equation.

GCF(73641,73647) = 3
LCM(73641,73647) = ( 73641 × 73647) / 3
LCM(73641,73647) = 5423438727 / 3
LCM(73641,73647) = 1807812909

Least Common Multiple (LCM) of 73641 and 73647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73641 and 73647. First we will calculate the prime factors of 73641 and 73647.

Prime Factorization of 73641

Prime Factorization of 73647

Now multiplying the highest exponent prime factors to calculate the LCM of 73641 and 73647.

LCM(73641,73647) = 3² × 24547¹ × 7² × 167¹
LCM(73641,73647) = 1807812909