What is the Least Common Multiple of 91795 and 91813?

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 91795 and 91813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91795 and 91813, than apply into the LCM equation.

GCF(91795,91813) = 1
LCM(91795,91813) = ( 91795 × 91813) / 1
LCM(91795,91813) = 8427974335 / 1
LCM(91795,91813) = 8427974335

Least Common Multiple (LCM) of 91795 and 91813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91795 and 91813. First we will calculate the prime factors of 91795 and 91813.

Prime Factorization of 91795

Prime Factorization of 91813

Now multiplying the highest exponent prime factors to calculate the LCM of 91795 and 91813.

LCM(91795,91813) = 5¹ × 11¹ × 1669¹ × 91813¹
LCM(91795,91813) = 8427974335