What is the Least Common Multiple of 46374 and 46391?

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 46391 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 46391, than apply into the LCM equation.

GCF(46374,46391) = 1
LCM(46374,46391) = ( 46374 × 46391) / 1
LCM(46374,46391) = 2151336234 / 1
LCM(46374,46391) = 2151336234

Least Common Multiple (LCM) of 46374 and 46391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46374 and 46391. First we will calculate the prime factors of 46374 and 46391.

Prime Factorization of 46374

Prime Factorization of 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 46374 and 46391.

LCM(46374,46391) = 2¹ × 3¹ × 59¹ × 131¹ × 23¹ × 2017¹
LCM(46374,46391) = 2151336234