What is the Least Common Multiple of 46905 and 46912?

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 46912 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 46912, than apply into the LCM equation.

GCF(46905,46912) = 1
LCM(46905,46912) = ( 46905 × 46912) / 1
LCM(46905,46912) = 2200407360 / 1
LCM(46905,46912) = 2200407360

Least Common Multiple (LCM) of 46905 and 46912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46905 and 46912. First we will calculate the prime factors of 46905 and 46912.

Prime Factorization of 46905

Prime Factorization of 46912

Now multiplying the highest exponent prime factors to calculate the LCM of 46905 and 46912.

LCM(46905,46912) = 3¹ × 5¹ × 53¹ × 59¹ × 2⁶ × 733¹
LCM(46905,46912) = 2200407360