What is the Least Common Multiple of 91893 and 91901?

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 91893 and 91901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91893 and 91901, than apply into the LCM equation.

GCF(91893,91901) = 1
LCM(91893,91901) = ( 91893 × 91901) / 1
LCM(91893,91901) = 8445058593 / 1
LCM(91893,91901) = 8445058593

Least Common Multiple (LCM) of 91893 and 91901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91893 and 91901. First we will calculate the prime factors of 91893 and 91901.

Prime Factorization of 91893

Prime Factorization of 91901

Now multiplying the highest exponent prime factors to calculate the LCM of 91893 and 91901.

LCM(91893,91901) = 3¹ × 30631¹ × 29¹ × 3169¹
LCM(91893,91901) = 8445058593