What is the Least Common Multiple of 46380 and 46395?

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 46380 and 46395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46380 and 46395, than apply into the LCM equation.

GCF(46380,46395) = 15
LCM(46380,46395) = ( 46380 × 46395) / 15
LCM(46380,46395) = 2151800100 / 15
LCM(46380,46395) = 143453340

Least Common Multiple (LCM) of 46380 and 46395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46380 and 46395. First we will calculate the prime factors of 46380 and 46395.

Prime Factorization of 46380

Prime Factorization of 46395

Now multiplying the highest exponent prime factors to calculate the LCM of 46380 and 46395.

LCM(46380,46395) = 2² × 3² × 5¹ × 773¹ × 1031¹
LCM(46380,46395) = 143453340