What is the Least Common Multiple of 38402 and 38416?

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 38402 and 38416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38402 and 38416, than apply into the LCM equation.

GCF(38402,38416) = 14
LCM(38402,38416) = ( 38402 × 38416) / 14
LCM(38402,38416) = 1475251232 / 14
LCM(38402,38416) = 105375088

Least Common Multiple (LCM) of 38402 and 38416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38402 and 38416. First we will calculate the prime factors of 38402 and 38416.

Prime Factorization of 38402

Prime Factorization of 38416

Now multiplying the highest exponent prime factors to calculate the LCM of 38402 and 38416.

LCM(38402,38416) = 2⁴ × 7⁴ × 13¹ × 211¹
LCM(38402,38416) = 105375088