What is the Least Common Multiple of 46896 and 46915?

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 46896 and 46915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46896 and 46915, than apply into the LCM equation.

GCF(46896,46915) = 1
LCM(46896,46915) = ( 46896 × 46915) / 1
LCM(46896,46915) = 2200125840 / 1
LCM(46896,46915) = 2200125840

Least Common Multiple (LCM) of 46896 and 46915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46896 and 46915. First we will calculate the prime factors of 46896 and 46915.

Prime Factorization of 46896

Prime Factorization of 46915

Now multiplying the highest exponent prime factors to calculate the LCM of 46896 and 46915.

LCM(46896,46915) = 2⁴ × 3¹ × 977¹ × 5¹ × 11¹ × 853¹
LCM(46896,46915) = 2200125840