What is the Least Common Multiple of 82940 and 82952?

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 82940 and 82952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82940 and 82952, than apply into the LCM equation.

GCF(82940,82952) = 4
LCM(82940,82952) = ( 82940 × 82952) / 4
LCM(82940,82952) = 6880038880 / 4
LCM(82940,82952) = 1720009720

Least Common Multiple (LCM) of 82940 and 82952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82940 and 82952. First we will calculate the prime factors of 82940 and 82952.

Prime Factorization of 82940

Prime Factorization of 82952

Now multiplying the highest exponent prime factors to calculate the LCM of 82940 and 82952.

LCM(82940,82952) = 2³ × 5¹ × 11¹ × 13¹ × 29¹ × 10369¹
LCM(82940,82952) = 1720009720