What is the Least Common Multiple of 43730 and 43744?

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 43730 and 43744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43730 and 43744, than apply into the LCM equation.

GCF(43730,43744) = 2
LCM(43730,43744) = ( 43730 × 43744) / 2
LCM(43730,43744) = 1912925120 / 2
LCM(43730,43744) = 956462560

Least Common Multiple (LCM) of 43730 and 43744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43730 and 43744. First we will calculate the prime factors of 43730 and 43744.

Prime Factorization of 43730

Prime Factorization of 43744

Now multiplying the highest exponent prime factors to calculate the LCM of 43730 and 43744.

LCM(43730,43744) = 2⁵ × 5¹ × 4373¹ × 1367¹
LCM(43730,43744) = 956462560