What is the Least Common Multiple of 46410 and 46430?

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 46410 and 46430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46410 and 46430, than apply into the LCM equation.

GCF(46410,46430) = 10
LCM(46410,46430) = ( 46410 × 46430) / 10
LCM(46410,46430) = 2154816300 / 10
LCM(46410,46430) = 215481630

Least Common Multiple (LCM) of 46410 and 46430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46410 and 46430. First we will calculate the prime factors of 46410 and 46430.

Prime Factorization of 46410

Prime Factorization of 46430

Now multiplying the highest exponent prime factors to calculate the LCM of 46410 and 46430.

LCM(46410,46430) = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 17¹ × 4643¹
LCM(46410,46430) = 215481630