What is the Least Common Multiple of 46410 and 46422?

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 46422 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 46422, than apply into the LCM equation.

GCF(46410,46422) = 6
LCM(46410,46422) = ( 46410 × 46422) / 6
LCM(46410,46422) = 2154445020 / 6
LCM(46410,46422) = 359074170

Least Common Multiple (LCM) of 46410 and 46422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46410 and 46422. First we will calculate the prime factors of 46410 and 46422.

Prime Factorization of 46410

Prime Factorization of 46422

Now multiplying the highest exponent prime factors to calculate the LCM of 46410 and 46422.

LCM(46410,46422) = 2¹ × 3² × 5¹ × 7¹ × 13¹ × 17¹ × 2579¹
LCM(46410,46422) = 359074170