What is the Least Common Multiple of 46758 and 46770?

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 46758 and 46770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46758 and 46770, than apply into the LCM equation.

GCF(46758,46770) = 6
LCM(46758,46770) = ( 46758 × 46770) / 6
LCM(46758,46770) = 2186871660 / 6
LCM(46758,46770) = 364478610

Least Common Multiple (LCM) of 46758 and 46770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46758 and 46770. First we will calculate the prime factors of 46758 and 46770.

Prime Factorization of 46758

Prime Factorization of 46770

Now multiplying the highest exponent prime factors to calculate the LCM of 46758 and 46770.

LCM(46758,46770) = 2¹ × 3¹ × 7793¹ × 5¹ × 1559¹
LCM(46758,46770) = 364478610