What is the Least Common Multiple of 46272 and 46292?

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 46272 and 46292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46272 and 46292, than apply into the LCM equation.

GCF(46272,46292) = 4
LCM(46272,46292) = ( 46272 × 46292) / 4
LCM(46272,46292) = 2142023424 / 4
LCM(46272,46292) = 535505856

Least Common Multiple (LCM) of 46272 and 46292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46272 and 46292. First we will calculate the prime factors of 46272 and 46292.

Prime Factorization of 46272

Prime Factorization of 46292

Now multiplying the highest exponent prime factors to calculate the LCM of 46272 and 46292.

LCM(46272,46292) = 2⁶ × 3¹ × 241¹ × 71¹ × 163¹
LCM(46272,46292) = 535505856