What is the Least Common Multiple of 73980 and 73992?

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 73980 and 73992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73980 and 73992, than apply into the LCM equation.

GCF(73980,73992) = 12
LCM(73980,73992) = ( 73980 × 73992) / 12
LCM(73980,73992) = 5473928160 / 12
LCM(73980,73992) = 456160680

Least Common Multiple (LCM) of 73980 and 73992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73980 and 73992. First we will calculate the prime factors of 73980 and 73992.

Prime Factorization of 73980

Prime Factorization of 73992

Now multiplying the highest exponent prime factors to calculate the LCM of 73980 and 73992.

LCM(73980,73992) = 2³ × 3³ × 5¹ × 137¹ × 3083¹
LCM(73980,73992) = 456160680