What is the Least Common Multiple of 46435 and 46440?

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 46435 and 46440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46435 and 46440, than apply into the LCM equation.

GCF(46435,46440) = 5
LCM(46435,46440) = ( 46435 × 46440) / 5
LCM(46435,46440) = 2156441400 / 5
LCM(46435,46440) = 431288280

Least Common Multiple (LCM) of 46435 and 46440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46435 and 46440. First we will calculate the prime factors of 46435 and 46440.

Prime Factorization of 46435

Prime Factorization of 46440

Now multiplying the highest exponent prime factors to calculate the LCM of 46435 and 46440.

LCM(46435,46440) = 5¹ × 37¹ × 251¹ × 2³ × 3³ × 43¹
LCM(46435,46440) = 431288280