What is the Least Common Multiple of 91012 and 91031?

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 91012 and 91031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91012 and 91031, than apply into the LCM equation.

GCF(91012,91031) = 1
LCM(91012,91031) = ( 91012 × 91031) / 1
LCM(91012,91031) = 8284913372 / 1
LCM(91012,91031) = 8284913372

Least Common Multiple (LCM) of 91012 and 91031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91012 and 91031. First we will calculate the prime factors of 91012 and 91031.

Prime Factorization of 91012

Prime Factorization of 91031

Now multiplying the highest exponent prime factors to calculate the LCM of 91012 and 91031.

LCM(91012,91031) = 2² × 61¹ × 373¹ × 29¹ × 43¹ × 73¹
LCM(91012,91031) = 8284913372