What is the Least Common Multiple of 46890 and 46902?

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 46890 and 46902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46890 and 46902, than apply into the LCM equation.

GCF(46890,46902) = 6
LCM(46890,46902) = ( 46890 × 46902) / 6
LCM(46890,46902) = 2199234780 / 6
LCM(46890,46902) = 366539130

Least Common Multiple (LCM) of 46890 and 46902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46890 and 46902. First we will calculate the prime factors of 46890 and 46902.

Prime Factorization of 46890

Prime Factorization of 46902

Now multiplying the highest exponent prime factors to calculate the LCM of 46890 and 46902.

LCM(46890,46902) = 2¹ × 3² × 5¹ × 521¹ × 7817¹
LCM(46890,46902) = 366539130