What is the Least Common Multiple of 46773 and 46785?

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 46773 and 46785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46773 and 46785, than apply into the LCM equation.

GCF(46773,46785) = 3
LCM(46773,46785) = ( 46773 × 46785) / 3
LCM(46773,46785) = 2188274805 / 3
LCM(46773,46785) = 729424935

Least Common Multiple (LCM) of 46773 and 46785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46773 and 46785. First we will calculate the prime factors of 46773 and 46785.

Prime Factorization of 46773

Prime Factorization of 46785

Now multiplying the highest exponent prime factors to calculate the LCM of 46773 and 46785.

LCM(46773,46785) = 3² × 5197¹ × 5¹ × 3119¹
LCM(46773,46785) = 729424935