What is the Least Common Multiple of 43707 and 43711?

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 43707 and 43711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43707 and 43711, than apply into the LCM equation.

GCF(43707,43711) = 1
LCM(43707,43711) = ( 43707 × 43711) / 1
LCM(43707,43711) = 1910476677 / 1
LCM(43707,43711) = 1910476677

Least Common Multiple (LCM) of 43707 and 43711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43707 and 43711. First we will calculate the prime factors of 43707 and 43711.

Prime Factorization of 43707

Prime Factorization of 43711

Now multiplying the highest exponent prime factors to calculate the LCM of 43707 and 43711.

LCM(43707,43711) = 3¹ × 17¹ × 857¹ × 43711¹
LCM(43707,43711) = 1910476677