What is the Least Common Multiple of 82930 and 82941?

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 82930 and 82941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82930 and 82941, than apply into the LCM equation.

GCF(82930,82941) = 1
LCM(82930,82941) = ( 82930 × 82941) / 1
LCM(82930,82941) = 6878297130 / 1
LCM(82930,82941) = 6878297130

Least Common Multiple (LCM) of 82930 and 82941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82930 and 82941. First we will calculate the prime factors of 82930 and 82941.

Prime Factorization of 82930

Prime Factorization of 82941

Now multiplying the highest exponent prime factors to calculate the LCM of 82930 and 82941.

LCM(82930,82941) = 2¹ × 5¹ × 8293¹ × 3¹ × 27647¹
LCM(82930,82941) = 6878297130