What is the Least Common Multiple of 73320 and 73325?

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 73320 and 73325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73320 and 73325, than apply into the LCM equation.

GCF(73320,73325) = 5
LCM(73320,73325) = ( 73320 × 73325) / 5
LCM(73320,73325) = 5376189000 / 5
LCM(73320,73325) = 1075237800

Least Common Multiple (LCM) of 73320 and 73325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73320 and 73325. First we will calculate the prime factors of 73320 and 73325.

Prime Factorization of 73320

Prime Factorization of 73325

Now multiplying the highest exponent prime factors to calculate the LCM of 73320 and 73325.

LCM(73320,73325) = 2³ × 3¹ × 5² × 13¹ × 47¹ × 7¹ × 419¹
LCM(73320,73325) = 1075237800