What is the Least Common Multiple of 46905 and 46914?

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 46905 and 46914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46905 and 46914, than apply into the LCM equation.

GCF(46905,46914) = 3
LCM(46905,46914) = ( 46905 × 46914) / 3
LCM(46905,46914) = 2200501170 / 3
LCM(46905,46914) = 733500390

Least Common Multiple (LCM) of 46905 and 46914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46905 and 46914. First we will calculate the prime factors of 46905 and 46914.

Prime Factorization of 46905

Prime Factorization of 46914

Now multiplying the highest exponent prime factors to calculate the LCM of 46905 and 46914.

LCM(46905,46914) = 3¹ × 5¹ × 53¹ × 59¹ × 2¹ × 7¹ × 1117¹
LCM(46905,46914) = 733500390