What is the Least Common Multiple of 46340 and 46356?

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 46340 and 46356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46340 and 46356, than apply into the LCM equation.

GCF(46340,46356) = 4
LCM(46340,46356) = ( 46340 × 46356) / 4
LCM(46340,46356) = 2148137040 / 4
LCM(46340,46356) = 537034260

Least Common Multiple (LCM) of 46340 and 46356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46340 and 46356. First we will calculate the prime factors of 46340 and 46356.

Prime Factorization of 46340

Prime Factorization of 46356

Now multiplying the highest exponent prime factors to calculate the LCM of 46340 and 46356.

LCM(46340,46356) = 2² × 5¹ × 7¹ × 331¹ × 3¹ × 3863¹
LCM(46340,46356) = 537034260