What is the Least Common Multiple of 82924 and 82940?

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 82924 and 82940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82924 and 82940, than apply into the LCM equation.

GCF(82924,82940) = 4
LCM(82924,82940) = ( 82924 × 82940) / 4
LCM(82924,82940) = 6877716560 / 4
LCM(82924,82940) = 1719429140

Least Common Multiple (LCM) of 82924 and 82940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82924 and 82940. First we will calculate the prime factors of 82924 and 82940.

Prime Factorization of 82924

Prime Factorization of 82940

Now multiplying the highest exponent prime factors to calculate the LCM of 82924 and 82940.

LCM(82924,82940) = 2² × 20731¹ × 5¹ × 11¹ × 13¹ × 29¹
LCM(82924,82940) = 1719429140