What is the Least Common Multiple of 7114 and 7128?

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 7114 and 7128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7114 and 7128, than apply into the LCM equation.

GCF(7114,7128) = 2
LCM(7114,7128) = ( 7114 × 7128) / 2
LCM(7114,7128) = 50708592 / 2
LCM(7114,7128) = 25354296

Least Common Multiple (LCM) of 7114 and 7128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7114 and 7128. First we will calculate the prime factors of 7114 and 7128.

Prime Factorization of 7114

Prime Factorization of 7128

Now multiplying the highest exponent prime factors to calculate the LCM of 7114 and 7128.

LCM(7114,7128) = 2³ × 3557¹ × 3⁴ × 11¹
LCM(7114,7128) = 25354296