What is the Least Common Multiple of 70746 and 70758?

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 70746 and 70758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70746 and 70758, than apply into the LCM equation.

GCF(70746,70758) = 6
LCM(70746,70758) = ( 70746 × 70758) / 6
LCM(70746,70758) = 5005845468 / 6
LCM(70746,70758) = 834307578

Least Common Multiple (LCM) of 70746 and 70758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70746 and 70758. First we will calculate the prime factors of 70746 and 70758.

Prime Factorization of 70746

Prime Factorization of 70758

Now multiplying the highest exponent prime factors to calculate the LCM of 70746 and 70758.

LCM(70746,70758) = 2¹ × 3² × 13¹ × 907¹ × 3931¹
LCM(70746,70758) = 834307578