What is the Least Common Multiple of 43700 and 43712?

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 43700 and 43712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43700 and 43712, than apply into the LCM equation.

GCF(43700,43712) = 4
LCM(43700,43712) = ( 43700 × 43712) / 4
LCM(43700,43712) = 1910214400 / 4
LCM(43700,43712) = 477553600

Least Common Multiple (LCM) of 43700 and 43712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43700 and 43712. First we will calculate the prime factors of 43700 and 43712.

Prime Factorization of 43700

Prime Factorization of 43712

Now multiplying the highest exponent prime factors to calculate the LCM of 43700 and 43712.

LCM(43700,43712) = 2⁶ × 5² × 19¹ × 23¹ × 683¹
LCM(43700,43712) = 477553600