What is the Least Common Multiple of 46657 and 46677?

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 46657 and 46677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46657 and 46677, than apply into the LCM equation.

GCF(46657,46677) = 1
LCM(46657,46677) = ( 46657 × 46677) / 1
LCM(46657,46677) = 2177808789 / 1
LCM(46657,46677) = 2177808789

Least Common Multiple (LCM) of 46657 and 46677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46657 and 46677. First we will calculate the prime factors of 46657 and 46677.

Prime Factorization of 46657

Prime Factorization of 46677

Now multiplying the highest exponent prime factors to calculate the LCM of 46657 and 46677.

LCM(46657,46677) = 13¹ × 37¹ × 97¹ × 3¹ × 15559¹
LCM(46657,46677) = 2177808789