What is the Least Common Multiple of 43714 and 43727?

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 43714 and 43727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43714 and 43727, than apply into the LCM equation.

GCF(43714,43727) = 1
LCM(43714,43727) = ( 43714 × 43727) / 1
LCM(43714,43727) = 1911482078 / 1
LCM(43714,43727) = 1911482078

Least Common Multiple (LCM) of 43714 and 43727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43714 and 43727. First we will calculate the prime factors of 43714 and 43727.

Prime Factorization of 43714

Prime Factorization of 43727

Now multiplying the highest exponent prime factors to calculate the LCM of 43714 and 43727.

LCM(43714,43727) = 2¹ × 11¹ × 1987¹ × 73¹ × 599¹
LCM(43714,43727) = 1911482078