What is the Least Common Multiple of 82992 and 83012?

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 82992 and 83012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82992 and 83012, than apply into the LCM equation.

GCF(82992,83012) = 4
LCM(82992,83012) = ( 82992 × 83012) / 4
LCM(82992,83012) = 6889331904 / 4
LCM(82992,83012) = 1722332976

Least Common Multiple (LCM) of 82992 and 83012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82992 and 83012. First we will calculate the prime factors of 82992 and 83012.

Prime Factorization of 82992

Prime Factorization of 83012

Now multiplying the highest exponent prime factors to calculate the LCM of 82992 and 83012.

LCM(82992,83012) = 2⁴ × 3¹ × 7¹ × 13¹ × 19¹ × 20753¹
LCM(82992,83012) = 1722332976