What is the Least Common Multiple of 87768 and 87777?

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 87768 and 87777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87768 and 87777, than apply into the LCM equation.

GCF(87768,87777) = 9
LCM(87768,87777) = ( 87768 × 87777) / 9
LCM(87768,87777) = 7704011736 / 9
LCM(87768,87777) = 856001304

Least Common Multiple (LCM) of 87768 and 87777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87768 and 87777. First we will calculate the prime factors of 87768 and 87777.

Prime Factorization of 87768

Prime Factorization of 87777

Now multiplying the highest exponent prime factors to calculate the LCM of 87768 and 87777.

LCM(87768,87777) = 2³ × 3³ × 23¹ × 53¹ × 3251¹
LCM(87768,87777) = 856001304