What is the Least Common Multiple of 46291 and 46298?

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 46291 and 46298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46291 and 46298, than apply into the LCM equation.

GCF(46291,46298) = 7
LCM(46291,46298) = ( 46291 × 46298) / 7
LCM(46291,46298) = 2143180718 / 7
LCM(46291,46298) = 306168674

Least Common Multiple (LCM) of 46291 and 46298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46291 and 46298. First we will calculate the prime factors of 46291 and 46298.

Prime Factorization of 46291

Prime Factorization of 46298

Now multiplying the highest exponent prime factors to calculate the LCM of 46291 and 46298.

LCM(46291,46298) = 7¹ × 17¹ × 389¹ × 2¹ × 3307¹
LCM(46291,46298) = 306168674