What is the Least Common Multiple of 73665 and 73675?

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 73665 and 73675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73665 and 73675, than apply into the LCM equation.

GCF(73665,73675) = 5
LCM(73665,73675) = ( 73665 × 73675) / 5
LCM(73665,73675) = 5427268875 / 5
LCM(73665,73675) = 1085453775

Least Common Multiple (LCM) of 73665 and 73675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73665 and 73675. First we will calculate the prime factors of 73665 and 73675.

Prime Factorization of 73665

Prime Factorization of 73675

Now multiplying the highest exponent prime factors to calculate the LCM of 73665 and 73675.

LCM(73665,73675) = 3² × 5² × 1637¹ × 7¹ × 421¹
LCM(73665,73675) = 1085453775