What is the Least Common Multiple of 74912 and 74918?

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 74912 and 74918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74912 and 74918, than apply into the LCM equation.

GCF(74912,74918) = 2
LCM(74912,74918) = ( 74912 × 74918) / 2
LCM(74912,74918) = 5612257216 / 2
LCM(74912,74918) = 2806128608

Least Common Multiple (LCM) of 74912 and 74918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74912 and 74918. First we will calculate the prime factors of 74912 and 74918.

Prime Factorization of 74912

Prime Factorization of 74918

Now multiplying the highest exponent prime factors to calculate the LCM of 74912 and 74918.

LCM(74912,74918) = 2⁵ × 2341¹ × 47¹ × 797¹
LCM(74912,74918) = 2806128608