GCF and LCM Calculator Logo

What is the Least Common Multiple of 7112 and 7120?

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 (LCM) of 7112 and 7120 is 6329680.

LCM(7112,7120) = 6329680

LCM Calculator and
and

Least Common Multiple of 7112 and 7120 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 7120, than apply into the LCM equation.

GCF(7112,7120) = 8
LCM(7112,7120) = ( 7112 × 7120) / 8
LCM(7112,7120) = 50637440 / 8
LCM(7112,7120) = 6329680

Least Common Multiple (LCM) of 7112 and 7120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7112 and 7120. First we will calculate the prime factors of 7112 and 7120.

Prime Factorization of 7112

Prime factors of 7112 are 2, 7, 127. Prime factorization of 7112 in exponential form is:

7112 = 23 × 71 × 1271

Prime Factorization of 7120

Prime factors of 7120 are 2, 5, 89. Prime factorization of 7120 in exponential form is:

7120 = 24 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 7112 and 7120.

LCM(7112,7120) = 24 × 71 × 1271 × 51 × 891
LCM(7112,7120) = 6329680