What is the Least Common Multiple of 46075 and 46081?

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 46075 and 46081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46075 and 46081, than apply into the LCM equation.

GCF(46075,46081) = 1
LCM(46075,46081) = ( 46075 × 46081) / 1
LCM(46075,46081) = 2123182075 / 1
LCM(46075,46081) = 2123182075

Least Common Multiple (LCM) of 46075 and 46081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46075 and 46081. First we will calculate the prime factors of 46075 and 46081.

Prime Factorization of 46075

Prime Factorization of 46081

Now multiplying the highest exponent prime factors to calculate the LCM of 46075 and 46081.

LCM(46075,46081) = 5² × 19¹ × 97¹ × 7¹ × 29¹ × 227¹
LCM(46075,46081) = 2123182075