What is the Least Common Multiple of 71929 and 71941?

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 71929 and 71941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71929 and 71941, than apply into the LCM equation.

GCF(71929,71941) = 1
LCM(71929,71941) = ( 71929 × 71941) / 1
LCM(71929,71941) = 5174644189 / 1
LCM(71929,71941) = 5174644189

Least Common Multiple (LCM) of 71929 and 71941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71929 and 71941. First we will calculate the prime factors of 71929 and 71941.

Prime Factorization of 71929

Prime Factorization of 71941

Now multiplying the highest exponent prime factors to calculate the LCM of 71929 and 71941.

LCM(71929,71941) = 11¹ × 13¹ × 503¹ × 71941¹
LCM(71929,71941) = 5174644189