What is the Least Common Multiple of 70608 and 70623?

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 70608 and 70623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70608 and 70623, than apply into the LCM equation.

GCF(70608,70623) = 3
LCM(70608,70623) = ( 70608 × 70623) / 3
LCM(70608,70623) = 4986548784 / 3
LCM(70608,70623) = 1662182928

Least Common Multiple (LCM) of 70608 and 70623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70608 and 70623. First we will calculate the prime factors of 70608 and 70623.

Prime Factorization of 70608

Prime Factorization of 70623

Now multiplying the highest exponent prime factors to calculate the LCM of 70608 and 70623.

LCM(70608,70623) = 2⁴ × 3² × 1471¹ × 7¹ × 19¹ × 59¹
LCM(70608,70623) = 1662182928