What is the Least Common Multiple of 38816 and 38826?

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 38816 and 38826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38816 and 38826, than apply into the LCM equation.

GCF(38816,38826) = 2
LCM(38816,38826) = ( 38816 × 38826) / 2
LCM(38816,38826) = 1507070016 / 2
LCM(38816,38826) = 753535008

Least Common Multiple (LCM) of 38816 and 38826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38816 and 38826. First we will calculate the prime factors of 38816 and 38826.

Prime Factorization of 38816

Prime Factorization of 38826

Now multiplying the highest exponent prime factors to calculate the LCM of 38816 and 38826.

LCM(38816,38826) = 2⁵ × 1213¹ × 3³ × 719¹
LCM(38816,38826) = 753535008