What is the Least Common Multiple of 46515 and 46524?

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 46515 and 46524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46515 and 46524, than apply into the LCM equation.

GCF(46515,46524) = 3
LCM(46515,46524) = ( 46515 × 46524) / 3
LCM(46515,46524) = 2164063860 / 3
LCM(46515,46524) = 721354620

Least Common Multiple (LCM) of 46515 and 46524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46515 and 46524. First we will calculate the prime factors of 46515 and 46524.

Prime Factorization of 46515

Prime Factorization of 46524

Now multiplying the highest exponent prime factors to calculate the LCM of 46515 and 46524.

LCM(46515,46524) = 3¹ × 5¹ × 7¹ × 443¹ × 2² × 3877¹
LCM(46515,46524) = 721354620