What is the Least Common Multiple of 91457 and 91465?

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 91457 and 91465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91457 and 91465, than apply into the LCM equation.

GCF(91457,91465) = 1
LCM(91457,91465) = ( 91457 × 91465) / 1
LCM(91457,91465) = 8365114505 / 1
LCM(91457,91465) = 8365114505

Least Common Multiple (LCM) of 91457 and 91465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91457 and 91465. First we will calculate the prime factors of 91457 and 91465.

Prime Factorization of 91457

Prime Factorization of 91465

Now multiplying the highest exponent prime factors to calculate the LCM of 91457 and 91465.

LCM(91457,91465) = 91457¹ × 5¹ × 11¹ × 1663¹
LCM(91457,91465) = 8365114505