What is the Least Common Multiple of 46494 and 46512?

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 46494 and 46512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46494 and 46512, than apply into the LCM equation.

GCF(46494,46512) = 18
LCM(46494,46512) = ( 46494 × 46512) / 18
LCM(46494,46512) = 2162528928 / 18
LCM(46494,46512) = 120140496

Least Common Multiple (LCM) of 46494 and 46512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46494 and 46512. First we will calculate the prime factors of 46494 and 46512.

Prime Factorization of 46494

Prime Factorization of 46512

Now multiplying the highest exponent prime factors to calculate the LCM of 46494 and 46512.

LCM(46494,46512) = 2⁴ × 3⁴ × 7¹ × 41¹ × 17¹ × 19¹
LCM(46494,46512) = 120140496