What is the Least Common Multiple of 73765 and 73775?

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 73765 and 73775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73765 and 73775, than apply into the LCM equation.

GCF(73765,73775) = 5
LCM(73765,73775) = ( 73765 × 73775) / 5
LCM(73765,73775) = 5442012875 / 5
LCM(73765,73775) = 1088402575

Least Common Multiple (LCM) of 73765 and 73775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73765 and 73775. First we will calculate the prime factors of 73765 and 73775.

Prime Factorization of 73765

Prime Factorization of 73775

Now multiplying the highest exponent prime factors to calculate the LCM of 73765 and 73775.

LCM(73765,73775) = 5² × 14753¹ × 13¹ × 227¹
LCM(73765,73775) = 1088402575