What is the Least Common Multiple of 91842 and 91861?

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 91842 and 91861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91842 and 91861, than apply into the LCM equation.

GCF(91842,91861) = 1
LCM(91842,91861) = ( 91842 × 91861) / 1
LCM(91842,91861) = 8436697962 / 1
LCM(91842,91861) = 8436697962

Least Common Multiple (LCM) of 91842 and 91861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91842 and 91861. First we will calculate the prime factors of 91842 and 91861.

Prime Factorization of 91842

Prime Factorization of 91861

Now multiplying the highest exponent prime factors to calculate the LCM of 91842 and 91861.

LCM(91842,91861) = 2¹ × 3¹ × 15307¹ × 7¹ × 11¹ × 1193¹
LCM(91842,91861) = 8436697962