What is the Least Common Multiple of 38832 and 38850?

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 38832 and 38850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38832 and 38850, than apply into the LCM equation.

GCF(38832,38850) = 6
LCM(38832,38850) = ( 38832 × 38850) / 6
LCM(38832,38850) = 1508623200 / 6
LCM(38832,38850) = 251437200

Least Common Multiple (LCM) of 38832 and 38850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38832 and 38850. First we will calculate the prime factors of 38832 and 38850.

Prime Factorization of 38832

Prime Factorization of 38850

Now multiplying the highest exponent prime factors to calculate the LCM of 38832 and 38850.

LCM(38832,38850) = 2⁴ × 3¹ × 809¹ × 5² × 7¹ × 37¹
LCM(38832,38850) = 251437200