What is the Least Common Multiple of 46530 and 46542?

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 46530 and 46542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46530 and 46542, than apply into the LCM equation.

GCF(46530,46542) = 6
LCM(46530,46542) = ( 46530 × 46542) / 6
LCM(46530,46542) = 2165599260 / 6
LCM(46530,46542) = 360933210

Least Common Multiple (LCM) of 46530 and 46542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46530 and 46542. First we will calculate the prime factors of 46530 and 46542.

Prime Factorization of 46530

Prime Factorization of 46542

Now multiplying the highest exponent prime factors to calculate the LCM of 46530 and 46542.

LCM(46530,46542) = 2¹ × 3² × 5¹ × 11¹ × 47¹ × 7757¹
LCM(46530,46542) = 360933210