What is the Least Common Multiple of 3633 and 3644?

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 3633 and 3644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3633 and 3644, than apply into the LCM equation.

GCF(3633,3644) = 1
LCM(3633,3644) = ( 3633 × 3644) / 1
LCM(3633,3644) = 13238652 / 1
LCM(3633,3644) = 13238652

Least Common Multiple (LCM) of 3633 and 3644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3633 and 3644. First we will calculate the prime factors of 3633 and 3644.

Prime Factorization of 3633

Prime Factorization of 3644

Now multiplying the highest exponent prime factors to calculate the LCM of 3633 and 3644.

LCM(3633,3644) = 3¹ × 7¹ × 173¹ × 2² × 911¹
LCM(3633,3644) = 13238652