What is the Least Common Multiple of 74775 and 74785?

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 74775 and 74785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74775 and 74785, than apply into the LCM equation.

GCF(74775,74785) = 5
LCM(74775,74785) = ( 74775 × 74785) / 5
LCM(74775,74785) = 5592048375 / 5
LCM(74775,74785) = 1118409675

Least Common Multiple (LCM) of 74775 and 74785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74775 and 74785. First we will calculate the prime factors of 74775 and 74785.

Prime Factorization of 74775

Prime Factorization of 74785

Now multiplying the highest exponent prime factors to calculate the LCM of 74775 and 74785.

LCM(74775,74785) = 3¹ × 5² × 997¹ × 14957¹
LCM(74775,74785) = 1118409675