What is the Least Common Multiple of 82940 and 82955?

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 82955 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 82955, than apply into the LCM equation.

GCF(82940,82955) = 5
LCM(82940,82955) = ( 82940 × 82955) / 5
LCM(82940,82955) = 6880287700 / 5
LCM(82940,82955) = 1376057540

Least Common Multiple (LCM) of 82940 and 82955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82940 and 82955. First we will calculate the prime factors of 82940 and 82955.

Prime Factorization of 82940

Prime Factorization of 82955

Now multiplying the highest exponent prime factors to calculate the LCM of 82940 and 82955.

LCM(82940,82955) = 2² × 5¹ × 11¹ × 13¹ × 29¹ × 47¹ × 353¹
LCM(82940,82955) = 1376057540