What is the Least Common Multiple of 68772 and 68781?

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 68772 and 68781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68772 and 68781, than apply into the LCM equation.

GCF(68772,68781) = 3
LCM(68772,68781) = ( 68772 × 68781) / 3
LCM(68772,68781) = 4730206932 / 3
LCM(68772,68781) = 1576735644

Least Common Multiple (LCM) of 68772 and 68781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68772 and 68781. First we will calculate the prime factors of 68772 and 68781.

Prime Factorization of 68772

Prime Factorization of 68781

Now multiplying the highest exponent prime factors to calculate the LCM of 68772 and 68781.

LCM(68772,68781) = 2² × 3¹ × 11¹ × 521¹ × 101¹ × 227¹
LCM(68772,68781) = 1576735644