What is the Least Common Multiple of 70635 and 70644?

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 70635 and 70644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70635 and 70644, than apply into the LCM equation.

GCF(70635,70644) = 3
LCM(70635,70644) = ( 70635 × 70644) / 3
LCM(70635,70644) = 4989938940 / 3
LCM(70635,70644) = 1663312980

Least Common Multiple (LCM) of 70635 and 70644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70635 and 70644. First we will calculate the prime factors of 70635 and 70644.

Prime Factorization of 70635

Prime Factorization of 70644

Now multiplying the highest exponent prime factors to calculate the LCM of 70635 and 70644.

LCM(70635,70644) = 3¹ × 5¹ × 17¹ × 277¹ × 2² × 7¹ × 29²
LCM(70635,70644) = 1663312980