What is the Least Common Multiple of 91808 and 91823?

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 91808 and 91823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91808 and 91823, than apply into the LCM equation.

GCF(91808,91823) = 1
LCM(91808,91823) = ( 91808 × 91823) / 1
LCM(91808,91823) = 8430085984 / 1
LCM(91808,91823) = 8430085984

Least Common Multiple (LCM) of 91808 and 91823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91808 and 91823. First we will calculate the prime factors of 91808 and 91823.

Prime Factorization of 91808

Prime Factorization of 91823

Now multiplying the highest exponent prime factors to calculate the LCM of 91808 and 91823.

LCM(91808,91823) = 2⁵ × 19¹ × 151¹ × 91823¹
LCM(91808,91823) = 8430085984