What is the Least Common Multiple of 46854 and 46870?

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 46854 and 46870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46854 and 46870, than apply into the LCM equation.

GCF(46854,46870) = 2
LCM(46854,46870) = ( 46854 × 46870) / 2
LCM(46854,46870) = 2196046980 / 2
LCM(46854,46870) = 1098023490

Least Common Multiple (LCM) of 46854 and 46870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46854 and 46870. First we will calculate the prime factors of 46854 and 46870.

Prime Factorization of 46854

Prime Factorization of 46870

Now multiplying the highest exponent prime factors to calculate the LCM of 46854 and 46870.

LCM(46854,46870) = 2¹ × 3² × 19¹ × 137¹ × 5¹ × 43¹ × 109¹
LCM(46854,46870) = 1098023490