What is the Least Common Multiple of 1635 and 1644?

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 1635 and 1644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1635 and 1644, than apply into the LCM equation.

GCF(1635,1644) = 3
LCM(1635,1644) = ( 1635 × 1644) / 3
LCM(1635,1644) = 2687940 / 3
LCM(1635,1644) = 895980

Least Common Multiple (LCM) of 1635 and 1644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1635 and 1644. First we will calculate the prime factors of 1635 and 1644.

Prime Factorization of 1635

Prime Factorization of 1644

Now multiplying the highest exponent prime factors to calculate the LCM of 1635 and 1644.

LCM(1635,1644) = 3¹ × 5¹ × 109¹ × 2² × 137¹
LCM(1635,1644) = 895980