What is the Least Common Multiple of 70112 and 70122?

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 70122 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 70122, than apply into the LCM equation.

GCF(70112,70122) = 2
LCM(70112,70122) = ( 70112 × 70122) / 2
LCM(70112,70122) = 4916393664 / 2
LCM(70112,70122) = 2458196832

Least Common Multiple (LCM) of 70112 and 70122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70112 and 70122. First we will calculate the prime factors of 70112 and 70122.

Prime Factorization of 70112

Prime Factorization of 70122

Now multiplying the highest exponent prime factors to calculate the LCM of 70112 and 70122.

LCM(70112,70122) = 2⁵ × 7¹ × 313¹ × 3¹ × 13¹ × 29¹ × 31¹
LCM(70112,70122) = 2458196832