What is the Least Common Multiple of 46755 and 46773?

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 46755 and 46773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46755 and 46773, than apply into the LCM equation.

GCF(46755,46773) = 9
LCM(46755,46773) = ( 46755 × 46773) / 9
LCM(46755,46773) = 2186871615 / 9
LCM(46755,46773) = 242985735

Least Common Multiple (LCM) of 46755 and 46773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46755 and 46773. First we will calculate the prime factors of 46755 and 46773.

Prime Factorization of 46755

Prime Factorization of 46773

Now multiplying the highest exponent prime factors to calculate the LCM of 46755 and 46773.

LCM(46755,46773) = 3² × 5¹ × 1039¹ × 5197¹
LCM(46755,46773) = 242985735