What is the Least Common Multiple of 46722 and 46737?

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 46722 and 46737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46722 and 46737, than apply into the LCM equation.

GCF(46722,46737) = 3
LCM(46722,46737) = ( 46722 × 46737) / 3
LCM(46722,46737) = 2183646114 / 3
LCM(46722,46737) = 727882038

Least Common Multiple (LCM) of 46722 and 46737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46722 and 46737. First we will calculate the prime factors of 46722 and 46737.

Prime Factorization of 46722

Prime Factorization of 46737

Now multiplying the highest exponent prime factors to calculate the LCM of 46722 and 46737.

LCM(46722,46737) = 2¹ × 3⁴ × 13¹ × 599¹ × 577¹
LCM(46722,46737) = 727882038