What is the Least Common Multiple of 74894 and 74902?

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 74894 and 74902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74894 and 74902, than apply into the LCM equation.

GCF(74894,74902) = 2
LCM(74894,74902) = ( 74894 × 74902) / 2
LCM(74894,74902) = 5609710388 / 2
LCM(74894,74902) = 2804855194

Least Common Multiple (LCM) of 74894 and 74902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74894 and 74902. First we will calculate the prime factors of 74894 and 74902.

Prime Factorization of 74894

Prime Factorization of 74902

Now multiplying the highest exponent prime factors to calculate the LCM of 74894 and 74902.

LCM(74894,74902) = 2¹ × 37447¹ × 17¹ × 2203¹
LCM(74894,74902) = 2804855194