What is the Least Common Multiple of 91830 and 91845?

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 91830 and 91845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91830 and 91845, than apply into the LCM equation.

GCF(91830,91845) = 15
LCM(91830,91845) = ( 91830 × 91845) / 15
LCM(91830,91845) = 8434126350 / 15
LCM(91830,91845) = 562275090

Least Common Multiple (LCM) of 91830 and 91845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91830 and 91845. First we will calculate the prime factors of 91830 and 91845.

Prime Factorization of 91830

Prime Factorization of 91845

Now multiplying the highest exponent prime factors to calculate the LCM of 91830 and 91845.

LCM(91830,91845) = 2¹ × 3² × 5¹ × 3061¹ × 13¹ × 157¹
LCM(91830,91845) = 562275090