What is the Least Common Multiple of 51285 and 51298?

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 51285 and 51298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51285 and 51298, than apply into the LCM equation.

GCF(51285,51298) = 13
LCM(51285,51298) = ( 51285 × 51298) / 13
LCM(51285,51298) = 2630817930 / 13
LCM(51285,51298) = 202370610

Least Common Multiple (LCM) of 51285 and 51298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51285 and 51298. First we will calculate the prime factors of 51285 and 51298.

Prime Factorization of 51285

Prime Factorization of 51298

Now multiplying the highest exponent prime factors to calculate the LCM of 51285 and 51298.

LCM(51285,51298) = 3¹ × 5¹ × 13¹ × 263¹ × 2¹ × 1973¹
LCM(51285,51298) = 202370610