What is the Least Common Multiple of 46609 and 46627?

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 46609 and 46627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46609 and 46627, than apply into the LCM equation.

GCF(46609,46627) = 1
LCM(46609,46627) = ( 46609 × 46627) / 1
LCM(46609,46627) = 2173237843 / 1
LCM(46609,46627) = 2173237843

Least Common Multiple (LCM) of 46609 and 46627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46609 and 46627. First we will calculate the prime factors of 46609 and 46627.

Prime Factorization of 46609

Prime Factorization of 46627

Now multiplying the highest exponent prime factors to calculate the LCM of 46609 and 46627.

LCM(46609,46627) = 127¹ × 367¹ × 7¹ × 6661¹
LCM(46609,46627) = 2173237843