What is the Least Common Multiple of 91815 and 91830?

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 91815 and 91830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91815 and 91830, than apply into the LCM equation.

GCF(91815,91830) = 15
LCM(91815,91830) = ( 91815 × 91830) / 15
LCM(91815,91830) = 8431371450 / 15
LCM(91815,91830) = 562091430

Least Common Multiple (LCM) of 91815 and 91830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91815 and 91830. First we will calculate the prime factors of 91815 and 91830.

Prime Factorization of 91815

Prime Factorization of 91830

Now multiplying the highest exponent prime factors to calculate the LCM of 91815 and 91830.

LCM(91815,91830) = 3¹ × 5¹ × 6121¹ × 2¹ × 3061¹
LCM(91815,91830) = 562091430