What is the Least Common Multiple of 46374 and 46383?

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 46374 and 46383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46374 and 46383, than apply into the LCM equation.

GCF(46374,46383) = 3
LCM(46374,46383) = ( 46374 × 46383) / 3
LCM(46374,46383) = 2150965242 / 3
LCM(46374,46383) = 716988414

Least Common Multiple (LCM) of 46374 and 46383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46374 and 46383. First we will calculate the prime factors of 46374 and 46383.

Prime Factorization of 46374

Prime Factorization of 46383

Now multiplying the highest exponent prime factors to calculate the LCM of 46374 and 46383.

LCM(46374,46383) = 2¹ × 3¹ × 59¹ × 131¹ × 15461¹
LCM(46374,46383) = 716988414