What is the Least Common Multiple of 74580 and 74596?

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 74580 and 74596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74580 and 74596, than apply into the LCM equation.

GCF(74580,74596) = 4
LCM(74580,74596) = ( 74580 × 74596) / 4
LCM(74580,74596) = 5563369680 / 4
LCM(74580,74596) = 1390842420

Least Common Multiple (LCM) of 74580 and 74596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74580 and 74596. First we will calculate the prime factors of 74580 and 74596.

Prime Factorization of 74580

Prime Factorization of 74596

Now multiplying the highest exponent prime factors to calculate the LCM of 74580 and 74596.

LCM(74580,74596) = 2² × 3¹ × 5¹ × 11¹ × 113¹ × 17¹ × 1097¹
LCM(74580,74596) = 1390842420