What is the Least Common Multiple of 3712 and 3719?

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 3719 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 3719, than apply into the LCM equation.

GCF(3712,3719) = 1
LCM(3712,3719) = ( 3712 × 3719) / 1
LCM(3712,3719) = 13804928 / 1
LCM(3712,3719) = 13804928

Least Common Multiple (LCM) of 3712 and 3719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3712 and 3719. First we will calculate the prime factors of 3712 and 3719.

Prime Factorization of 3712

Prime Factorization of 3719

Now multiplying the highest exponent prime factors to calculate the LCM of 3712 and 3719.

LCM(3712,3719) = 2⁷ × 29¹ × 3719¹
LCM(3712,3719) = 13804928