What is the Least Common Multiple of 70112 and 70118?

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 70112 and 70118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70112 and 70118, than apply into the LCM equation.

GCF(70112,70118) = 2
LCM(70112,70118) = ( 70112 × 70118) / 2
LCM(70112,70118) = 4916113216 / 2
LCM(70112,70118) = 2458056608

Least Common Multiple (LCM) of 70112 and 70118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70112 and 70118. First we will calculate the prime factors of 70112 and 70118.

Prime Factorization of 70112

Prime Factorization of 70118

Now multiplying the highest exponent prime factors to calculate the LCM of 70112 and 70118.

LCM(70112,70118) = 2⁵ × 7¹ × 313¹ × 35059¹
LCM(70112,70118) = 2458056608