What is the Least Common Multiple of 46749 and 46766?

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 46749 and 46766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46749 and 46766, than apply into the LCM equation.

GCF(46749,46766) = 1
LCM(46749,46766) = ( 46749 × 46766) / 1
LCM(46749,46766) = 2186263734 / 1
LCM(46749,46766) = 2186263734

Least Common Multiple (LCM) of 46749 and 46766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46749 and 46766. First we will calculate the prime factors of 46749 and 46766.

Prime Factorization of 46749

Prime Factorization of 46766

Now multiplying the highest exponent prime factors to calculate the LCM of 46749 and 46766.

LCM(46749,46766) = 3¹ × 15583¹ × 2¹ × 67¹ × 349¹
LCM(46749,46766) = 2186263734