What is the Least Common Multiple of 82711 and 82727?

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 82711 and 82727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82711 and 82727, than apply into the LCM equation.

GCF(82711,82727) = 1
LCM(82711,82727) = ( 82711 × 82727) / 1
LCM(82711,82727) = 6842432897 / 1
LCM(82711,82727) = 6842432897

Least Common Multiple (LCM) of 82711 and 82727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82711 and 82727. First we will calculate the prime factors of 82711 and 82727.

Prime Factorization of 82711

Prime Factorization of 82727

Now multiplying the highest exponent prime factors to calculate the LCM of 82711 and 82727.

LCM(82711,82727) = 107¹ × 773¹ × 82727¹
LCM(82711,82727) = 6842432897