What is the Least Common Multiple of 46605 and 46620?

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 46605 and 46620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46605 and 46620, than apply into the LCM equation.

GCF(46605,46620) = 15
LCM(46605,46620) = ( 46605 × 46620) / 15
LCM(46605,46620) = 2172725100 / 15
LCM(46605,46620) = 144848340

Least Common Multiple (LCM) of 46605 and 46620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46605 and 46620. First we will calculate the prime factors of 46605 and 46620.

Prime Factorization of 46605

Prime Factorization of 46620

Now multiplying the highest exponent prime factors to calculate the LCM of 46605 and 46620.

LCM(46605,46620) = 3² × 5¹ × 13¹ × 239¹ × 2² × 7¹ × 37¹
LCM(46605,46620) = 144848340