What is the Least Common Multiple of 44132 and 44152?

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 44132 and 44152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44132 and 44152, than apply into the LCM equation.

GCF(44132,44152) = 4
LCM(44132,44152) = ( 44132 × 44152) / 4
LCM(44132,44152) = 1948516064 / 4
LCM(44132,44152) = 487129016

Least Common Multiple (LCM) of 44132 and 44152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44132 and 44152. First we will calculate the prime factors of 44132 and 44152.

Prime Factorization of 44132

Prime Factorization of 44152

Now multiplying the highest exponent prime factors to calculate the LCM of 44132 and 44152.

LCM(44132,44152) = 2³ × 11¹ × 17¹ × 59¹ × 5519¹
LCM(44132,44152) = 487129016