What is the Least Common Multiple of 46189 and 46193?

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 46189 and 46193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46189 and 46193, than apply into the LCM equation.

GCF(46189,46193) = 1
LCM(46189,46193) = ( 46189 × 46193) / 1
LCM(46189,46193) = 2133608477 / 1
LCM(46189,46193) = 2133608477

Least Common Multiple (LCM) of 46189 and 46193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46189 and 46193. First we will calculate the prime factors of 46189 and 46193.

Prime Factorization of 46189

Prime Factorization of 46193

Now multiplying the highest exponent prime factors to calculate the LCM of 46189 and 46193.

LCM(46189,46193) = 11¹ × 13¹ × 17¹ × 19¹ × 7¹ × 6599¹
LCM(46189,46193) = 2133608477