What is the Least Common Multiple of 3614 and 3632?

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 3614 and 3632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3614 and 3632, than apply into the LCM equation.

GCF(3614,3632) = 2
LCM(3614,3632) = ( 3614 × 3632) / 2
LCM(3614,3632) = 13126048 / 2
LCM(3614,3632) = 6563024

Least Common Multiple (LCM) of 3614 and 3632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3614 and 3632. First we will calculate the prime factors of 3614 and 3632.

Prime Factorization of 3614

Prime Factorization of 3632

Now multiplying the highest exponent prime factors to calculate the LCM of 3614 and 3632.

LCM(3614,3632) = 2⁴ × 13¹ × 139¹ × 227¹
LCM(3614,3632) = 6563024