What is the Least Common Multiple of 70112 and 70126?

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 70126 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 70126, than apply into the LCM equation.

GCF(70112,70126) = 14
LCM(70112,70126) = ( 70112 × 70126) / 14
LCM(70112,70126) = 4916674112 / 14
LCM(70112,70126) = 351191008

Least Common Multiple (LCM) of 70112 and 70126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70112 and 70126. First we will calculate the prime factors of 70112 and 70126.

Prime Factorization of 70112

Prime Factorization of 70126

Now multiplying the highest exponent prime factors to calculate the LCM of 70112 and 70126.

LCM(70112,70126) = 2⁵ × 7¹ × 313¹ × 5009¹
LCM(70112,70126) = 351191008