What is the Least Common Multiple of 82320 and 82334?

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 82320 and 82334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82320 and 82334, than apply into the LCM equation.

GCF(82320,82334) = 14
LCM(82320,82334) = ( 82320 × 82334) / 14
LCM(82320,82334) = 6777734880 / 14
LCM(82320,82334) = 484123920

Least Common Multiple (LCM) of 82320 and 82334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82320 and 82334. First we will calculate the prime factors of 82320 and 82334.

Prime Factorization of 82320

Prime Factorization of 82334

Now multiplying the highest exponent prime factors to calculate the LCM of 82320 and 82334.

LCM(82320,82334) = 2⁴ × 3¹ × 5¹ × 7³ × 5881¹
LCM(82320,82334) = 484123920