What is the Least Common Multiple of 58179 and 58197?

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 58179 and 58197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58179 and 58197, than apply into the LCM equation.

GCF(58179,58197) = 3
LCM(58179,58197) = ( 58179 × 58197) / 3
LCM(58179,58197) = 3385843263 / 3
LCM(58179,58197) = 1128614421

Least Common Multiple (LCM) of 58179 and 58197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58179 and 58197. First we will calculate the prime factors of 58179 and 58197.

Prime Factorization of 58179

Prime Factorization of 58197

Now multiplying the highest exponent prime factors to calculate the LCM of 58179 and 58197.

LCM(58179,58197) = 3¹ × 11¹ × 41¹ × 43¹ × 19¹ × 1021¹
LCM(58179,58197) = 1128614421