What is the Least Common Multiple of 91015 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 91015 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 91015 and 91031, than apply into the LCM equation.

GCF(91015,91031) = 1
LCM(91015,91031) = ( 91015 × 91031) / 1
LCM(91015,91031) = 8285186465 / 1
LCM(91015,91031) = 8285186465

Least Common Multiple (LCM) of 91015 and 91031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91015 and 91031. First we will calculate the prime factors of 91015 and 91031.

Prime Factorization of 91015

Prime Factorization of 91031

Now multiplying the highest exponent prime factors to calculate the LCM of 91015 and 91031.

LCM(91015,91031) = 5¹ × 109¹ × 167¹ × 29¹ × 43¹ × 73¹
LCM(91015,91031) = 8285186465