What is the Least Common Multiple of 43900 and 43919?

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 43900 and 43919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43900 and 43919, than apply into the LCM equation.

GCF(43900,43919) = 1
LCM(43900,43919) = ( 43900 × 43919) / 1
LCM(43900,43919) = 1928044100 / 1
LCM(43900,43919) = 1928044100

Least Common Multiple (LCM) of 43900 and 43919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43900 and 43919. First we will calculate the prime factors of 43900 and 43919.

Prime Factorization of 43900

Prime Factorization of 43919

Now multiplying the highest exponent prime factors to calculate the LCM of 43900 and 43919.

LCM(43900,43919) = 2² × 5² × 439¹ × 37¹ × 1187¹
LCM(43900,43919) = 1928044100