What is the Least Common Multiple of 74596 and 74614?

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 74596 and 74614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74596 and 74614, than apply into the LCM equation.

GCF(74596,74614) = 2
LCM(74596,74614) = ( 74596 × 74614) / 2
LCM(74596,74614) = 5565905944 / 2
LCM(74596,74614) = 2782952972

Least Common Multiple (LCM) of 74596 and 74614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74596 and 74614. First we will calculate the prime factors of 74596 and 74614.

Prime Factorization of 74596

Prime Factorization of 74614

Now multiplying the highest exponent prime factors to calculate the LCM of 74596 and 74614.

LCM(74596,74614) = 2² × 17¹ × 1097¹ × 37307¹
LCM(74596,74614) = 2782952972