What is the Least Common Multiple of 46519 and 46525?

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 46519 and 46525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46519 and 46525, than apply into the LCM equation.

GCF(46519,46525) = 1
LCM(46519,46525) = ( 46519 × 46525) / 1
LCM(46519,46525) = 2164296475 / 1
LCM(46519,46525) = 2164296475

Least Common Multiple (LCM) of 46519 and 46525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46519 and 46525. First we will calculate the prime factors of 46519 and 46525.

Prime Factorization of 46519

Prime Factorization of 46525

Now multiplying the highest exponent prime factors to calculate the LCM of 46519 and 46525.

LCM(46519,46525) = 11¹ × 4229¹ × 5² × 1861¹
LCM(46519,46525) = 2164296475