What is the Least Common Multiple of 46354 and 46370?

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 46354 and 46370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46354 and 46370, than apply into the LCM equation.

GCF(46354,46370) = 2
LCM(46354,46370) = ( 46354 × 46370) / 2
LCM(46354,46370) = 2149434980 / 2
LCM(46354,46370) = 1074717490

Least Common Multiple (LCM) of 46354 and 46370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46354 and 46370. First we will calculate the prime factors of 46354 and 46370.

Prime Factorization of 46354

Prime Factorization of 46370

Now multiplying the highest exponent prime factors to calculate the LCM of 46354 and 46370.

LCM(46354,46370) = 2¹ × 7² × 11¹ × 43¹ × 5¹ × 4637¹
LCM(46354,46370) = 1074717490