What is the Least Common Multiple of 71766 and 71782?

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 71766 and 71782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71766 and 71782, than apply into the LCM equation.

GCF(71766,71782) = 2
LCM(71766,71782) = ( 71766 × 71782) / 2
LCM(71766,71782) = 5151507012 / 2
LCM(71766,71782) = 2575753506

Least Common Multiple (LCM) of 71766 and 71782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71766 and 71782. First we will calculate the prime factors of 71766 and 71782.

Prime Factorization of 71766

Prime Factorization of 71782

Now multiplying the highest exponent prime factors to calculate the LCM of 71766 and 71782.

LCM(71766,71782) = 2¹ × 3⁴ × 443¹ × 19¹ × 1889¹
LCM(71766,71782) = 2575753506