What is the Least Common Multiple of 73761 and 73781?

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 73761 and 73781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73761 and 73781, than apply into the LCM equation.

GCF(73761,73781) = 1
LCM(73761,73781) = ( 73761 × 73781) / 1
LCM(73761,73781) = 5442160341 / 1
LCM(73761,73781) = 5442160341

Least Common Multiple (LCM) of 73761 and 73781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73761 and 73781. First we will calculate the prime factors of 73761 and 73781.

Prime Factorization of 73761

Prime Factorization of 73781

Now multiplying the highest exponent prime factors to calculate the LCM of 73761 and 73781.

LCM(73761,73781) = 3¹ × 23¹ × 1069¹ × 89¹ × 829¹
LCM(73761,73781) = 5442160341