What is the Least Common Multiple of 3718 and 3737?

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 3718 and 3737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3718 and 3737, than apply into the LCM equation.

GCF(3718,3737) = 1
LCM(3718,3737) = ( 3718 × 3737) / 1
LCM(3718,3737) = 13894166 / 1
LCM(3718,3737) = 13894166

Least Common Multiple (LCM) of 3718 and 3737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3718 and 3737. First we will calculate the prime factors of 3718 and 3737.

Prime Factorization of 3718

Prime Factorization of 3737

Now multiplying the highest exponent prime factors to calculate the LCM of 3718 and 3737.

LCM(3718,3737) = 2¹ × 11¹ × 13² × 37¹ × 101¹
LCM(3718,3737) = 13894166