What is the Least Common Multiple of 46288 and 46299?

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 46288 and 46299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46288 and 46299, than apply into the LCM equation.

GCF(46288,46299) = 11
LCM(46288,46299) = ( 46288 × 46299) / 11
LCM(46288,46299) = 2143088112 / 11
LCM(46288,46299) = 194826192

Least Common Multiple (LCM) of 46288 and 46299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46288 and 46299. First we will calculate the prime factors of 46288 and 46299.

Prime Factorization of 46288

Prime Factorization of 46299

Now multiplying the highest exponent prime factors to calculate the LCM of 46288 and 46299.

LCM(46288,46299) = 2⁴ × 11¹ × 263¹ × 3¹ × 23¹ × 61¹
LCM(46288,46299) = 194826192