What is the Least Common Multiple of 46590 and 46610?

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 46590 and 46610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46590 and 46610, than apply into the LCM equation.

GCF(46590,46610) = 10
LCM(46590,46610) = ( 46590 × 46610) / 10
LCM(46590,46610) = 2171559900 / 10
LCM(46590,46610) = 217155990

Least Common Multiple (LCM) of 46590 and 46610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46590 and 46610. First we will calculate the prime factors of 46590 and 46610.

Prime Factorization of 46590

Prime Factorization of 46610

Now multiplying the highest exponent prime factors to calculate the LCM of 46590 and 46610.

LCM(46590,46610) = 2¹ × 3¹ × 5¹ × 1553¹ × 59¹ × 79¹
LCM(46590,46610) = 217155990