What is the Least Common Multiple of 46240 and 46254?

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 46240 and 46254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46240 and 46254, than apply into the LCM equation.

GCF(46240,46254) = 2
LCM(46240,46254) = ( 46240 × 46254) / 2
LCM(46240,46254) = 2138784960 / 2
LCM(46240,46254) = 1069392480

Least Common Multiple (LCM) of 46240 and 46254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46240 and 46254. First we will calculate the prime factors of 46240 and 46254.

Prime Factorization of 46240

Prime Factorization of 46254

Now multiplying the highest exponent prime factors to calculate the LCM of 46240 and 46254.

LCM(46240,46254) = 2⁵ × 5¹ × 17² × 3¹ × 13¹ × 593¹
LCM(46240,46254) = 1069392480