What is the Least Common Multiple of 70629 and 70641?

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 70629 and 70641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70629 and 70641, than apply into the LCM equation.

GCF(70629,70641) = 3
LCM(70629,70641) = ( 70629 × 70641) / 3
LCM(70629,70641) = 4989303189 / 3
LCM(70629,70641) = 1663101063

Least Common Multiple (LCM) of 70629 and 70641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70629 and 70641. First we will calculate the prime factors of 70629 and 70641.

Prime Factorization of 70629

Prime Factorization of 70641

Now multiplying the highest exponent prime factors to calculate the LCM of 70629 and 70641.

LCM(70629,70641) = 3² × 13¹ × 1811¹ × 47¹ × 167¹
LCM(70629,70641) = 1663101063