What is the Least Common Multiple of 43680 and 43695?

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 43680 and 43695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43680 and 43695, than apply into the LCM equation.

GCF(43680,43695) = 15
LCM(43680,43695) = ( 43680 × 43695) / 15
LCM(43680,43695) = 1908597600 / 15
LCM(43680,43695) = 127239840

Least Common Multiple (LCM) of 43680 and 43695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43680 and 43695. First we will calculate the prime factors of 43680 and 43695.

Prime Factorization of 43680

Prime Factorization of 43695

Now multiplying the highest exponent prime factors to calculate the LCM of 43680 and 43695.

LCM(43680,43695) = 2⁵ × 3² × 5¹ × 7¹ × 13¹ × 971¹
LCM(43680,43695) = 127239840