What is the Least Common Multiple of 3796 and 3816?

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 3796 and 3816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3796 and 3816, than apply into the LCM equation.

GCF(3796,3816) = 4
LCM(3796,3816) = ( 3796 × 3816) / 4
LCM(3796,3816) = 14485536 / 4
LCM(3796,3816) = 3621384

Least Common Multiple (LCM) of 3796 and 3816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3796 and 3816. First we will calculate the prime factors of 3796 and 3816.

Prime Factorization of 3796

Prime Factorization of 3816

Now multiplying the highest exponent prime factors to calculate the LCM of 3796 and 3816.

LCM(3796,3816) = 2³ × 13¹ × 73¹ × 3² × 53¹
LCM(3796,3816) = 3621384