What is the Least Common Multiple of 32816 and 32830?

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 32816 and 32830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32816 and 32830, than apply into the LCM equation.

GCF(32816,32830) = 14
LCM(32816,32830) = ( 32816 × 32830) / 14
LCM(32816,32830) = 1077349280 / 14
LCM(32816,32830) = 76953520

Least Common Multiple (LCM) of 32816 and 32830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32816 and 32830. First we will calculate the prime factors of 32816 and 32830.

Prime Factorization of 32816

Prime Factorization of 32830

Now multiplying the highest exponent prime factors to calculate the LCM of 32816 and 32830.

LCM(32816,32830) = 2⁴ × 7² × 293¹ × 5¹ × 67¹
LCM(32816,32830) = 76953520