What is the Least Common Multiple of 91851 and 91860?

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 91851 and 91860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91851 and 91860, than apply into the LCM equation.

GCF(91851,91860) = 3
LCM(91851,91860) = ( 91851 × 91860) / 3
LCM(91851,91860) = 8437432860 / 3
LCM(91851,91860) = 2812477620

Least Common Multiple (LCM) of 91851 and 91860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91851 and 91860. First we will calculate the prime factors of 91851 and 91860.

Prime Factorization of 91851

Prime Factorization of 91860

Now multiplying the highest exponent prime factors to calculate the LCM of 91851 and 91860.

LCM(91851,91860) = 3¹ × 17¹ × 1801¹ × 2² × 5¹ × 1531¹
LCM(91851,91860) = 2812477620