What is the Least Common Multiple of 91840 and 91858?

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 91840 and 91858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91840 and 91858, than apply into the LCM equation.

GCF(91840,91858) = 2
LCM(91840,91858) = ( 91840 × 91858) / 2
LCM(91840,91858) = 8436238720 / 2
LCM(91840,91858) = 4218119360

Least Common Multiple (LCM) of 91840 and 91858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91840 and 91858. First we will calculate the prime factors of 91840 and 91858.

Prime Factorization of 91840

Prime Factorization of 91858

Now multiplying the highest exponent prime factors to calculate the LCM of 91840 and 91858.

LCM(91840,91858) = 2⁶ × 5¹ × 7¹ × 41¹ × 13¹ × 3533¹
LCM(91840,91858) = 4218119360