What is the Least Common Multiple of 74116 and 74122?

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 74116 and 74122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74116 and 74122, than apply into the LCM equation.

GCF(74116,74122) = 2
LCM(74116,74122) = ( 74116 × 74122) / 2
LCM(74116,74122) = 5493626152 / 2
LCM(74116,74122) = 2746813076

Least Common Multiple (LCM) of 74116 and 74122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74116 and 74122. First we will calculate the prime factors of 74116 and 74122.

Prime Factorization of 74116

Prime Factorization of 74122

Now multiplying the highest exponent prime factors to calculate the LCM of 74116 and 74122.

LCM(74116,74122) = 2² × 7¹ × 2647¹ × 37061¹
LCM(74116,74122) = 2746813076