What is the Least Common Multiple of 43785 and 43792?

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 43785 and 43792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43785 and 43792, than apply into the LCM equation.

GCF(43785,43792) = 7
LCM(43785,43792) = ( 43785 × 43792) / 7
LCM(43785,43792) = 1917432720 / 7
LCM(43785,43792) = 273918960

Least Common Multiple (LCM) of 43785 and 43792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43785 and 43792. First we will calculate the prime factors of 43785 and 43792.

Prime Factorization of 43785

Prime Factorization of 43792

Now multiplying the highest exponent prime factors to calculate the LCM of 43785 and 43792.

LCM(43785,43792) = 3² × 5¹ × 7¹ × 139¹ × 2⁴ × 17¹ × 23¹
LCM(43785,43792) = 273918960