What is the Least Common Multiple of 32840 and 32850?

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 32840 and 32850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32840 and 32850, than apply into the LCM equation.

GCF(32840,32850) = 10
LCM(32840,32850) = ( 32840 × 32850) / 10
LCM(32840,32850) = 1078794000 / 10
LCM(32840,32850) = 107879400

Least Common Multiple (LCM) of 32840 and 32850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32840 and 32850. First we will calculate the prime factors of 32840 and 32850.

Prime Factorization of 32840

Prime Factorization of 32850

Now multiplying the highest exponent prime factors to calculate the LCM of 32840 and 32850.

LCM(32840,32850) = 2³ × 5² × 821¹ × 3² × 73¹
LCM(32840,32850) = 107879400