What is the Least Common Multiple of 46457 and 46463?

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 46457 and 46463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46457 and 46463, than apply into the LCM equation.

GCF(46457,46463) = 1
LCM(46457,46463) = ( 46457 × 46463) / 1
LCM(46457,46463) = 2158531591 / 1
LCM(46457,46463) = 2158531591

Least Common Multiple (LCM) of 46457 and 46463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46457 and 46463. First we will calculate the prime factors of 46457 and 46463.

Prime Factorization of 46457

Prime Factorization of 46463

Now multiplying the highest exponent prime factors to calculate the LCM of 46457 and 46463.

LCM(46457,46463) = 46457¹ × 97¹ × 479¹
LCM(46457,46463) = 2158531591