What is the Least Common Multiple of 53289 and 53298?

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 53289 and 53298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53289 and 53298, than apply into the LCM equation.

GCF(53289,53298) = 9
LCM(53289,53298) = ( 53289 × 53298) / 9
LCM(53289,53298) = 2840197122 / 9
LCM(53289,53298) = 315577458

Least Common Multiple (LCM) of 53289 and 53298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53289 and 53298. First we will calculate the prime factors of 53289 and 53298.

Prime Factorization of 53289

Prime Factorization of 53298

Now multiplying the highest exponent prime factors to calculate the LCM of 53289 and 53298.

LCM(53289,53298) = 3⁴ × 31¹ × 191¹ × 2¹ × 7¹ × 47¹
LCM(53289,53298) = 315577458