What is the Least Common Multiple of 81180 and 81197?

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 81180 and 81197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81180 and 81197, than apply into the LCM equation.

GCF(81180,81197) = 1
LCM(81180,81197) = ( 81180 × 81197) / 1
LCM(81180,81197) = 6591572460 / 1
LCM(81180,81197) = 6591572460

Least Common Multiple (LCM) of 81180 and 81197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81180 and 81197. First we will calculate the prime factors of 81180 and 81197.

Prime Factorization of 81180

Prime Factorization of 81197

Now multiplying the highest exponent prime factors to calculate the LCM of 81180 and 81197.

LCM(81180,81197) = 2² × 3² × 5¹ × 11¹ × 41¹ × 81197¹
LCM(81180,81197) = 6591572460