What is the Least Common Multiple of 46557 and 46571?

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 46557 and 46571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46557 and 46571, than apply into the LCM equation.

GCF(46557,46571) = 7
LCM(46557,46571) = ( 46557 × 46571) / 7
LCM(46557,46571) = 2168206047 / 7
LCM(46557,46571) = 309743721

Least Common Multiple (LCM) of 46557 and 46571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46557 and 46571. First we will calculate the prime factors of 46557 and 46571.

Prime Factorization of 46557

Prime Factorization of 46571

Now multiplying the highest exponent prime factors to calculate the LCM of 46557 and 46571.

LCM(46557,46571) = 3² × 7¹ × 739¹ × 6653¹
LCM(46557,46571) = 309743721