What is the Least Common Multiple of 46749 and 46755?

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 46749 and 46755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46749 and 46755, than apply into the LCM equation.

GCF(46749,46755) = 3
LCM(46749,46755) = ( 46749 × 46755) / 3
LCM(46749,46755) = 2185749495 / 3
LCM(46749,46755) = 728583165

Least Common Multiple (LCM) of 46749 and 46755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46749 and 46755. First we will calculate the prime factors of 46749 and 46755.

Prime Factorization of 46749

Prime Factorization of 46755

Now multiplying the highest exponent prime factors to calculate the LCM of 46749 and 46755.

LCM(46749,46755) = 3² × 15583¹ × 5¹ × 1039¹
LCM(46749,46755) = 728583165