What is the Least Common Multiple of 43792 and 43810?

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 43792 and 43810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43792 and 43810, than apply into the LCM equation.

GCF(43792,43810) = 2
LCM(43792,43810) = ( 43792 × 43810) / 2
LCM(43792,43810) = 1918527520 / 2
LCM(43792,43810) = 959263760

Least Common Multiple (LCM) of 43792 and 43810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43792 and 43810. First we will calculate the prime factors of 43792 and 43810.

Prime Factorization of 43792

Prime Factorization of 43810

Now multiplying the highest exponent prime factors to calculate the LCM of 43792 and 43810.

LCM(43792,43810) = 2⁴ × 7¹ × 17¹ × 23¹ × 5¹ × 13¹ × 337¹
LCM(43792,43810) = 959263760