What is the Least Common Multiple of 3700 and 3712?

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 3700 and 3712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3700 and 3712, than apply into the LCM equation.

GCF(3700,3712) = 4
LCM(3700,3712) = ( 3700 × 3712) / 4
LCM(3700,3712) = 13734400 / 4
LCM(3700,3712) = 3433600

Least Common Multiple (LCM) of 3700 and 3712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3700 and 3712. First we will calculate the prime factors of 3700 and 3712.

Prime Factorization of 3700

Prime Factorization of 3712

Now multiplying the highest exponent prime factors to calculate the LCM of 3700 and 3712.

LCM(3700,3712) = 2⁷ × 5² × 37¹ × 29¹
LCM(3700,3712) = 3433600