What is the Least Common Multiple of 46530 and 46539?

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 46539 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 46539, than apply into the LCM equation.

GCF(46530,46539) = 9
LCM(46530,46539) = ( 46530 × 46539) / 9
LCM(46530,46539) = 2165459670 / 9
LCM(46530,46539) = 240606630

Least Common Multiple (LCM) of 46530 and 46539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46530 and 46539. First we will calculate the prime factors of 46530 and 46539.

Prime Factorization of 46530

Prime Factorization of 46539

Now multiplying the highest exponent prime factors to calculate the LCM of 46530 and 46539.

LCM(46530,46539) = 2¹ × 3² × 5¹ × 11¹ × 47¹ × 5171¹
LCM(46530,46539) = 240606630