What is the Least Common Multiple of 71772 and 71781?

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 71772 and 71781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71772 and 71781, than apply into the LCM equation.

GCF(71772,71781) = 3
LCM(71772,71781) = ( 71772 × 71781) / 3
LCM(71772,71781) = 5151865932 / 3
LCM(71772,71781) = 1717288644

Least Common Multiple (LCM) of 71772 and 71781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71772 and 71781. First we will calculate the prime factors of 71772 and 71781.

Prime Factorization of 71772

Prime Factorization of 71781

Now multiplying the highest exponent prime factors to calculate the LCM of 71772 and 71781.

LCM(71772,71781) = 2² × 3¹ × 5981¹ × 71¹ × 337¹
LCM(71772,71781) = 1717288644