What is the Least Common Multiple of 46770 and 46788?

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 46770 and 46788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46770 and 46788, than apply into the LCM equation.

GCF(46770,46788) = 6
LCM(46770,46788) = ( 46770 × 46788) / 6
LCM(46770,46788) = 2188274760 / 6
LCM(46770,46788) = 364712460

Least Common Multiple (LCM) of 46770 and 46788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46770 and 46788. First we will calculate the prime factors of 46770 and 46788.

Prime Factorization of 46770

Prime Factorization of 46788

Now multiplying the highest exponent prime factors to calculate the LCM of 46770 and 46788.

LCM(46770,46788) = 2² × 3¹ × 5¹ × 1559¹ × 7¹ × 557¹
LCM(46770,46788) = 364712460