What is the Least Common Multiple of 70152 and 70162?

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 70152 and 70162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70152 and 70162, than apply into the LCM equation.

GCF(70152,70162) = 2
LCM(70152,70162) = ( 70152 × 70162) / 2
LCM(70152,70162) = 4922004624 / 2
LCM(70152,70162) = 2461002312

Least Common Multiple (LCM) of 70152 and 70162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70152 and 70162. First we will calculate the prime factors of 70152 and 70162.

Prime Factorization of 70152

Prime Factorization of 70162

Now multiplying the highest exponent prime factors to calculate the LCM of 70152 and 70162.

LCM(70152,70162) = 2³ × 3¹ × 37¹ × 79¹ × 35081¹
LCM(70152,70162) = 2461002312