What is the Least Common Multiple of 34635 and 34644?

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 34635 and 34644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34635 and 34644, than apply into the LCM equation.

GCF(34635,34644) = 3
LCM(34635,34644) = ( 34635 × 34644) / 3
LCM(34635,34644) = 1199894940 / 3
LCM(34635,34644) = 399964980

Least Common Multiple (LCM) of 34635 and 34644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34635 and 34644. First we will calculate the prime factors of 34635 and 34644.

Prime Factorization of 34635

Prime Factorization of 34644

Now multiplying the highest exponent prime factors to calculate the LCM of 34635 and 34644.

LCM(34635,34644) = 3¹ × 5¹ × 2309¹ × 2² × 2887¹
LCM(34635,34644) = 399964980