What is the Least Common Multiple of 87776 and 87789?

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 87776 and 87789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87776 and 87789, than apply into the LCM equation.

GCF(87776,87789) = 13
LCM(87776,87789) = ( 87776 × 87789) / 13
LCM(87776,87789) = 7705767264 / 13
LCM(87776,87789) = 592751328

Least Common Multiple (LCM) of 87776 and 87789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87776 and 87789. First we will calculate the prime factors of 87776 and 87789.

Prime Factorization of 87776

Prime Factorization of 87789

Now multiplying the highest exponent prime factors to calculate the LCM of 87776 and 87789.

LCM(87776,87789) = 2⁵ × 13¹ × 211¹ × 3¹ × 2251¹
LCM(87776,87789) = 592751328