What is the Least Common Multiple of 46488 and 46494?

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 46488 and 46494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46488 and 46494, than apply into the LCM equation.

GCF(46488,46494) = 6
LCM(46488,46494) = ( 46488 × 46494) / 6
LCM(46488,46494) = 2161413072 / 6
LCM(46488,46494) = 360235512

Least Common Multiple (LCM) of 46488 and 46494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46488 and 46494. First we will calculate the prime factors of 46488 and 46494.

Prime Factorization of 46488

Prime Factorization of 46494

Now multiplying the highest exponent prime factors to calculate the LCM of 46488 and 46494.

LCM(46488,46494) = 2³ × 3⁴ × 13¹ × 149¹ × 7¹ × 41¹
LCM(46488,46494) = 360235512