What is the Least Common Multiple of 82724 and 82736?

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 82724 and 82736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82724 and 82736, than apply into the LCM equation.

GCF(82724,82736) = 4
LCM(82724,82736) = ( 82724 × 82736) / 4
LCM(82724,82736) = 6844252864 / 4
LCM(82724,82736) = 1711063216

Least Common Multiple (LCM) of 82724 and 82736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82724 and 82736. First we will calculate the prime factors of 82724 and 82736.

Prime Factorization of 82724

Prime Factorization of 82736

Now multiplying the highest exponent prime factors to calculate the LCM of 82724 and 82736.

LCM(82724,82736) = 2⁴ × 20681¹ × 5171¹
LCM(82724,82736) = 1711063216