What is the Least Common Multiple of 43909 and 43924?

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 43909 and 43924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43909 and 43924, than apply into the LCM equation.

GCF(43909,43924) = 1
LCM(43909,43924) = ( 43909 × 43924) / 1
LCM(43909,43924) = 1928658916 / 1
LCM(43909,43924) = 1928658916

Least Common Multiple (LCM) of 43909 and 43924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43909 and 43924. First we will calculate the prime factors of 43909 and 43924.

Prime Factorization of 43909

Prime Factorization of 43924

Now multiplying the highest exponent prime factors to calculate the LCM of 43909 and 43924.

LCM(43909,43924) = 19¹ × 2311¹ × 2² × 79¹ × 139¹
LCM(43909,43924) = 1928658916