What is the Least Common Multiple of 7112 and 7126?

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 7112 and 7126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7112 and 7126, than apply into the LCM equation.

GCF(7112,7126) = 14
LCM(7112,7126) = ( 7112 × 7126) / 14
LCM(7112,7126) = 50680112 / 14
LCM(7112,7126) = 3620008

Least Common Multiple (LCM) of 7112 and 7126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7112 and 7126. First we will calculate the prime factors of 7112 and 7126.

Prime Factorization of 7112

Prime Factorization of 7126

Now multiplying the highest exponent prime factors to calculate the LCM of 7112 and 7126.

LCM(7112,7126) = 2³ × 7¹ × 127¹ × 509¹
LCM(7112,7126) = 3620008