What is the Least Common Multiple of 91849 and 91866?

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 91849 and 91866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91849 and 91866, than apply into the LCM equation.

GCF(91849,91866) = 1
LCM(91849,91866) = ( 91849 × 91866) / 1
LCM(91849,91866) = 8437800234 / 1
LCM(91849,91866) = 8437800234

Least Common Multiple (LCM) of 91849 and 91866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91849 and 91866. First we will calculate the prime factors of 91849 and 91866.

Prime Factorization of 91849

Prime Factorization of 91866

Now multiplying the highest exponent prime factors to calculate the LCM of 91849 and 91866.

LCM(91849,91866) = 53¹ × 1733¹ × 2¹ × 3¹ × 61¹ × 251¹
LCM(91849,91866) = 8437800234