What is the Least Common Multiple of 3678 and 3682?

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 3678 and 3682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3678 and 3682, than apply into the LCM equation.

GCF(3678,3682) = 2
LCM(3678,3682) = ( 3678 × 3682) / 2
LCM(3678,3682) = 13542396 / 2
LCM(3678,3682) = 6771198

Least Common Multiple (LCM) of 3678 and 3682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3678 and 3682. First we will calculate the prime factors of 3678 and 3682.

Prime Factorization of 3678

Prime Factorization of 3682

Now multiplying the highest exponent prime factors to calculate the LCM of 3678 and 3682.

LCM(3678,3682) = 2¹ × 3¹ × 613¹ × 7¹ × 263¹
LCM(3678,3682) = 6771198