What is the Least Common Multiple of 46536 and 46544?

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 46536 and 46544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46536 and 46544, than apply into the LCM equation.

GCF(46536,46544) = 8
LCM(46536,46544) = ( 46536 × 46544) / 8
LCM(46536,46544) = 2165971584 / 8
LCM(46536,46544) = 270746448

Least Common Multiple (LCM) of 46536 and 46544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46536 and 46544. First we will calculate the prime factors of 46536 and 46544.

Prime Factorization of 46536

Prime Factorization of 46544

Now multiplying the highest exponent prime factors to calculate the LCM of 46536 and 46544.

LCM(46536,46544) = 2⁴ × 3¹ × 7¹ × 277¹ × 2909¹
LCM(46536,46544) = 270746448