What is the Least Common Multiple of 82180 and 82197?

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 82180 and 82197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82180 and 82197, than apply into the LCM equation.

GCF(82180,82197) = 1
LCM(82180,82197) = ( 82180 × 82197) / 1
LCM(82180,82197) = 6754949460 / 1
LCM(82180,82197) = 6754949460

Least Common Multiple (LCM) of 82180 and 82197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82180 and 82197. First we will calculate the prime factors of 82180 and 82197.

Prime Factorization of 82180

Prime Factorization of 82197

Now multiplying the highest exponent prime factors to calculate the LCM of 82180 and 82197.

LCM(82180,82197) = 2² × 5¹ × 7¹ × 587¹ × 3² × 9133¹
LCM(82180,82197) = 6754949460