What is the Least Common Multiple of 46274 and 46284?

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 46274 and 46284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46274 and 46284, than apply into the LCM equation.

GCF(46274,46284) = 2
LCM(46274,46284) = ( 46274 × 46284) / 2
LCM(46274,46284) = 2141745816 / 2
LCM(46274,46284) = 1070872908

Least Common Multiple (LCM) of 46274 and 46284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46274 and 46284. First we will calculate the prime factors of 46274 and 46284.

Prime Factorization of 46274

Prime Factorization of 46284

Now multiplying the highest exponent prime factors to calculate the LCM of 46274 and 46284.

LCM(46274,46284) = 2² × 17¹ × 1361¹ × 3¹ × 7¹ × 19¹ × 29¹
LCM(46274,46284) = 1070872908