What is the Least Common Multiple of 46052 and 46072?

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 46052 and 46072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46052 and 46072, than apply into the LCM equation.

GCF(46052,46072) = 4
LCM(46052,46072) = ( 46052 × 46072) / 4
LCM(46052,46072) = 2121707744 / 4
LCM(46052,46072) = 530426936

Least Common Multiple (LCM) of 46052 and 46072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46052 and 46072. First we will calculate the prime factors of 46052 and 46072.

Prime Factorization of 46052

Prime Factorization of 46072

Now multiplying the highest exponent prime factors to calculate the LCM of 46052 and 46072.

LCM(46052,46072) = 2³ × 29¹ × 397¹ × 13¹ × 443¹
LCM(46052,46072) = 530426936