What is the Least Common Multiple of 3624 and 3643?

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 3624 and 3643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3624 and 3643, than apply into the LCM equation.

GCF(3624,3643) = 1
LCM(3624,3643) = ( 3624 × 3643) / 1
LCM(3624,3643) = 13202232 / 1
LCM(3624,3643) = 13202232

Least Common Multiple (LCM) of 3624 and 3643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3624 and 3643. First we will calculate the prime factors of 3624 and 3643.

Prime Factorization of 3624

Prime Factorization of 3643

Now multiplying the highest exponent prime factors to calculate the LCM of 3624 and 3643.

LCM(3624,3643) = 2³ × 3¹ × 151¹ × 3643¹
LCM(3624,3643) = 13202232