What is the Least Common Multiple of 35628 and 35646?

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 35628 and 35646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35628 and 35646, than apply into the LCM equation.

GCF(35628,35646) = 6
LCM(35628,35646) = ( 35628 × 35646) / 6
LCM(35628,35646) = 1269995688 / 6
LCM(35628,35646) = 211665948

Least Common Multiple (LCM) of 35628 and 35646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35628 and 35646. First we will calculate the prime factors of 35628 and 35646.

Prime Factorization of 35628

Prime Factorization of 35646

Now multiplying the highest exponent prime factors to calculate the LCM of 35628 and 35646.

LCM(35628,35646) = 2² × 3¹ × 2969¹ × 13¹ × 457¹
LCM(35628,35646) = 211665948