What is the Least Common Multiple of 46245 and 46259?

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 46245 and 46259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46245 and 46259, than apply into the LCM equation.

GCF(46245,46259) = 1
LCM(46245,46259) = ( 46245 × 46259) / 1
LCM(46245,46259) = 2139247455 / 1
LCM(46245,46259) = 2139247455

Least Common Multiple (LCM) of 46245 and 46259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46245 and 46259. First we will calculate the prime factors of 46245 and 46259.

Prime Factorization of 46245

Prime Factorization of 46259

Now multiplying the highest exponent prime factors to calculate the LCM of 46245 and 46259.

LCM(46245,46259) = 3¹ × 5¹ × 3083¹ × 167¹ × 277¹
LCM(46245,46259) = 2139247455