What is the Least Common Multiple of 74785 and 74797?

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 74785 and 74797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74785 and 74797, than apply into the LCM equation.

GCF(74785,74797) = 1
LCM(74785,74797) = ( 74785 × 74797) / 1
LCM(74785,74797) = 5593693645 / 1
LCM(74785,74797) = 5593693645

Least Common Multiple (LCM) of 74785 and 74797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74785 and 74797. First we will calculate the prime factors of 74785 and 74797.

Prime Factorization of 74785

Prime Factorization of 74797

Now multiplying the highest exponent prime factors to calculate the LCM of 74785 and 74797.

LCM(74785,74797) = 5¹ × 14957¹ × 74797¹
LCM(74785,74797) = 5593693645