What is the Least Common Multiple of 43945 and 43965?

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 43945 and 43965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43945 and 43965, than apply into the LCM equation.

GCF(43945,43965) = 5
LCM(43945,43965) = ( 43945 × 43965) / 5
LCM(43945,43965) = 1932041925 / 5
LCM(43945,43965) = 386408385

Least Common Multiple (LCM) of 43945 and 43965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43945 and 43965. First we will calculate the prime factors of 43945 and 43965.

Prime Factorization of 43945

Prime Factorization of 43965

Now multiplying the highest exponent prime factors to calculate the LCM of 43945 and 43965.

LCM(43945,43965) = 5¹ × 11¹ × 17¹ × 47¹ × 3² × 977¹
LCM(43945,43965) = 386408385