What is the Least Common Multiple of 74112 and 74126?

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 74112 and 74126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74112 and 74126, than apply into the LCM equation.

GCF(74112,74126) = 2
LCM(74112,74126) = ( 74112 × 74126) / 2
LCM(74112,74126) = 5493626112 / 2
LCM(74112,74126) = 2746813056

Least Common Multiple (LCM) of 74112 and 74126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74112 and 74126. First we will calculate the prime factors of 74112 and 74126.

Prime Factorization of 74112

Prime Factorization of 74126

Now multiplying the highest exponent prime factors to calculate the LCM of 74112 and 74126.

LCM(74112,74126) = 2⁷ × 3¹ × 193¹ × 13¹ × 2851¹
LCM(74112,74126) = 2746813056