What is the Least Common Multiple of 3774 and 3782?

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 3774 and 3782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3774 and 3782, than apply into the LCM equation.

GCF(3774,3782) = 2
LCM(3774,3782) = ( 3774 × 3782) / 2
LCM(3774,3782) = 14273268 / 2
LCM(3774,3782) = 7136634

Least Common Multiple (LCM) of 3774 and 3782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3774 and 3782. First we will calculate the prime factors of 3774 and 3782.

Prime Factorization of 3774

Prime Factorization of 3782

Now multiplying the highest exponent prime factors to calculate the LCM of 3774 and 3782.

LCM(3774,3782) = 2¹ × 3¹ × 17¹ × 37¹ × 31¹ × 61¹
LCM(3774,3782) = 7136634