What is the Least Common Multiple of 43880 and 43896?

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 43880 and 43896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43880 and 43896, than apply into the LCM equation.

GCF(43880,43896) = 8
LCM(43880,43896) = ( 43880 × 43896) / 8
LCM(43880,43896) = 1926156480 / 8
LCM(43880,43896) = 240769560

Least Common Multiple (LCM) of 43880 and 43896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43880 and 43896. First we will calculate the prime factors of 43880 and 43896.

Prime Factorization of 43880

Prime Factorization of 43896

Now multiplying the highest exponent prime factors to calculate the LCM of 43880 and 43896.

LCM(43880,43896) = 2³ × 5¹ × 1097¹ × 3¹ × 31¹ × 59¹
LCM(43880,43896) = 240769560