What is the Least Common Multiple of 82734 and 82750?

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 82734 and 82750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82734 and 82750, than apply into the LCM equation.

GCF(82734,82750) = 2
LCM(82734,82750) = ( 82734 × 82750) / 2
LCM(82734,82750) = 6846238500 / 2
LCM(82734,82750) = 3423119250

Least Common Multiple (LCM) of 82734 and 82750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82734 and 82750. First we will calculate the prime factors of 82734 and 82750.

Prime Factorization of 82734

Prime Factorization of 82750

Now multiplying the highest exponent prime factors to calculate the LCM of 82734 and 82750.

LCM(82734,82750) = 2¹ × 3¹ × 13789¹ × 5³ × 331¹
LCM(82734,82750) = 3423119250