What is the Least Common Multiple of 73731 and 73746?

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 73731 and 73746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73731 and 73746, than apply into the LCM equation.

GCF(73731,73746) = 3
LCM(73731,73746) = ( 73731 × 73746) / 3
LCM(73731,73746) = 5437366326 / 3
LCM(73731,73746) = 1812455442

Least Common Multiple (LCM) of 73731 and 73746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73731 and 73746. First we will calculate the prime factors of 73731 and 73746.

Prime Factorization of 73731

Prime Factorization of 73746

Now multiplying the highest exponent prime factors to calculate the LCM of 73731 and 73746.

LCM(73731,73746) = 3² × 7¹ × 3511¹ × 2¹ × 17¹ × 241¹
LCM(73731,73746) = 1812455442