What is the Least Common Multiple of 70608 and 70614?

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 70614 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 70614, than apply into the LCM equation.

GCF(70608,70614) = 6
LCM(70608,70614) = ( 70608 × 70614) / 6
LCM(70608,70614) = 4985913312 / 6
LCM(70608,70614) = 830985552

Least Common Multiple (LCM) of 70608 and 70614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70608 and 70614. First we will calculate the prime factors of 70608 and 70614.

Prime Factorization of 70608

Prime Factorization of 70614

Now multiplying the highest exponent prime factors to calculate the LCM of 70608 and 70614.

LCM(70608,70614) = 2⁴ × 3² × 1471¹ × 3923¹
LCM(70608,70614) = 830985552