What is the Least Common Multiple of 46441 and 46445?

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 46441 and 46445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46441 and 46445, than apply into the LCM equation.

GCF(46441,46445) = 1
LCM(46441,46445) = ( 46441 × 46445) / 1
LCM(46441,46445) = 2156952245 / 1
LCM(46441,46445) = 2156952245

Least Common Multiple (LCM) of 46441 and 46445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46441 and 46445. First we will calculate the prime factors of 46441 and 46445.

Prime Factorization of 46441

Prime Factorization of 46445

Now multiplying the highest exponent prime factors to calculate the LCM of 46441 and 46445.

LCM(46441,46445) = 46441¹ × 5¹ × 7¹ × 1327¹
LCM(46441,46445) = 2156952245