What is the Least Common Multiple of 3600 and 3614?

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 3600 and 3614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3600 and 3614, than apply into the LCM equation.

GCF(3600,3614) = 2
LCM(3600,3614) = ( 3600 × 3614) / 2
LCM(3600,3614) = 13010400 / 2
LCM(3600,3614) = 6505200

Least Common Multiple (LCM) of 3600 and 3614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3600 and 3614. First we will calculate the prime factors of 3600 and 3614.

Prime Factorization of 3600

Prime Factorization of 3614

Now multiplying the highest exponent prime factors to calculate the LCM of 3600 and 3614.

LCM(3600,3614) = 2⁴ × 3² × 5² × 13¹ × 139¹
LCM(3600,3614) = 6505200