What is the Least Common Multiple of 46298 and 46305?

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 46298 and 46305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46298 and 46305, than apply into the LCM equation.

GCF(46298,46305) = 7
LCM(46298,46305) = ( 46298 × 46305) / 7
LCM(46298,46305) = 2143828890 / 7
LCM(46298,46305) = 306261270

Least Common Multiple (LCM) of 46298 and 46305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46298 and 46305. First we will calculate the prime factors of 46298 and 46305.

Prime Factorization of 46298

Prime Factorization of 46305

Now multiplying the highest exponent prime factors to calculate the LCM of 46298 and 46305.

LCM(46298,46305) = 2¹ × 7³ × 3307¹ × 3³ × 5¹
LCM(46298,46305) = 306261270