What is the Least Common Multiple of 80929 and 80941?

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 80929 and 80941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80929 and 80941, than apply into the LCM equation.

GCF(80929,80941) = 1
LCM(80929,80941) = ( 80929 × 80941) / 1
LCM(80929,80941) = 6550474189 / 1
LCM(80929,80941) = 6550474189

Least Common Multiple (LCM) of 80929 and 80941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80929 and 80941. First we will calculate the prime factors of 80929 and 80941.

Prime Factorization of 80929

Prime Factorization of 80941

Now multiplying the highest exponent prime factors to calculate the LCM of 80929 and 80941.

LCM(80929,80941) = 80929¹ × 7¹ × 31¹ × 373¹
LCM(80929,80941) = 6550474189