What is the Least Common Multiple of 46870 and 46878?

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 46870 and 46878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46870 and 46878, than apply into the LCM equation.

GCF(46870,46878) = 2
LCM(46870,46878) = ( 46870 × 46878) / 2
LCM(46870,46878) = 2197171860 / 2
LCM(46870,46878) = 1098585930

Least Common Multiple (LCM) of 46870 and 46878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46870 and 46878. First we will calculate the prime factors of 46870 and 46878.

Prime Factorization of 46870

Prime Factorization of 46878

Now multiplying the highest exponent prime factors to calculate the LCM of 46870 and 46878.

LCM(46870,46878) = 2¹ × 5¹ × 43¹ × 109¹ × 3¹ × 13¹ × 601¹
LCM(46870,46878) = 1098585930