What is the Least Common Multiple of 73735 and 73755?

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 73735 and 73755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73735 and 73755, than apply into the LCM equation.

GCF(73735,73755) = 5
LCM(73735,73755) = ( 73735 × 73755) / 5
LCM(73735,73755) = 5438324925 / 5
LCM(73735,73755) = 1087664985

Least Common Multiple (LCM) of 73735 and 73755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73735 and 73755. First we will calculate the prime factors of 73735 and 73755.

Prime Factorization of 73735

Prime Factorization of 73755

Now multiplying the highest exponent prime factors to calculate the LCM of 73735 and 73755.

LCM(73735,73755) = 5¹ × 14747¹ × 3² × 11¹ × 149¹
LCM(73735,73755) = 1087664985