What is the Least Common Multiple of 74785 and 74800?

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 74800 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 74800, than apply into the LCM equation.

GCF(74785,74800) = 5
LCM(74785,74800) = ( 74785 × 74800) / 5
LCM(74785,74800) = 5593918000 / 5
LCM(74785,74800) = 1118783600

Least Common Multiple (LCM) of 74785 and 74800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74785 and 74800. First we will calculate the prime factors of 74785 and 74800.

Prime Factorization of 74785

Prime Factorization of 74800

Now multiplying the highest exponent prime factors to calculate the LCM of 74785 and 74800.

LCM(74785,74800) = 5² × 14957¹ × 2⁴ × 11¹ × 17¹
LCM(74785,74800) = 1118783600