What is the Least Common Multiple of 3706 and 3716?

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 3706 and 3716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3706 and 3716, than apply into the LCM equation.

GCF(3706,3716) = 2
LCM(3706,3716) = ( 3706 × 3716) / 2
LCM(3706,3716) = 13771496 / 2
LCM(3706,3716) = 6885748

Least Common Multiple (LCM) of 3706 and 3716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3706 and 3716. First we will calculate the prime factors of 3706 and 3716.

Prime Factorization of 3706

Prime Factorization of 3716

Now multiplying the highest exponent prime factors to calculate the LCM of 3706 and 3716.

LCM(3706,3716) = 2² × 17¹ × 109¹ × 929¹
LCM(3706,3716) = 6885748