What is the Least Common Multiple of 3712 and 3726?

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 3712 and 3726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3712 and 3726, than apply into the LCM equation.

GCF(3712,3726) = 2
LCM(3712,3726) = ( 3712 × 3726) / 2
LCM(3712,3726) = 13830912 / 2
LCM(3712,3726) = 6915456

Least Common Multiple (LCM) of 3712 and 3726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3712 and 3726. First we will calculate the prime factors of 3712 and 3726.

Prime Factorization of 3712

Prime Factorization of 3726

Now multiplying the highest exponent prime factors to calculate the LCM of 3712 and 3726.

LCM(3712,3726) = 2⁷ × 29¹ × 3⁴ × 23¹
LCM(3712,3726) = 6915456