What is the Least Common Multiple of 70668 and 70688?

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 70668 and 70688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70668 and 70688, than apply into the LCM equation.

GCF(70668,70688) = 4
LCM(70668,70688) = ( 70668 × 70688) / 4
LCM(70668,70688) = 4995379584 / 4
LCM(70668,70688) = 1248844896

Least Common Multiple (LCM) of 70668 and 70688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70668 and 70688. First we will calculate the prime factors of 70668 and 70688.

Prime Factorization of 70668

Prime Factorization of 70688

Now multiplying the highest exponent prime factors to calculate the LCM of 70668 and 70688.

LCM(70668,70688) = 2⁵ × 3² × 13¹ × 151¹ × 47²
LCM(70668,70688) = 1248844896