What is the Least Common Multiple of 46828 and 46840?

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 46828 and 46840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46828 and 46840, than apply into the LCM equation.

GCF(46828,46840) = 4
LCM(46828,46840) = ( 46828 × 46840) / 4
LCM(46828,46840) = 2193423520 / 4
LCM(46828,46840) = 548355880

Least Common Multiple (LCM) of 46828 and 46840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46828 and 46840. First we will calculate the prime factors of 46828 and 46840.

Prime Factorization of 46828

Prime Factorization of 46840

Now multiplying the highest exponent prime factors to calculate the LCM of 46828 and 46840.

LCM(46828,46840) = 2³ × 23¹ × 509¹ × 5¹ × 1171¹
LCM(46828,46840) = 548355880