What is the Least Common Multiple of 73965 and 73980?

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 73965 and 73980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73965 and 73980, than apply into the LCM equation.

GCF(73965,73980) = 15
LCM(73965,73980) = ( 73965 × 73980) / 15
LCM(73965,73980) = 5471930700 / 15
LCM(73965,73980) = 364795380

Least Common Multiple (LCM) of 73965 and 73980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73965 and 73980. First we will calculate the prime factors of 73965 and 73980.

Prime Factorization of 73965

Prime Factorization of 73980

Now multiplying the highest exponent prime factors to calculate the LCM of 73965 and 73980.

LCM(73965,73980) = 3³ × 5¹ × 4931¹ × 2² × 137¹
LCM(73965,73980) = 364795380