What is the Least Common Multiple of 87110 and 87121?

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 87110 and 87121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87110 and 87121, than apply into the LCM equation.

GCF(87110,87121) = 1
LCM(87110,87121) = ( 87110 × 87121) / 1
LCM(87110,87121) = 7589110310 / 1
LCM(87110,87121) = 7589110310

Least Common Multiple (LCM) of 87110 and 87121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87110 and 87121. First we will calculate the prime factors of 87110 and 87121.

Prime Factorization of 87110

Prime Factorization of 87121

Now multiplying the highest exponent prime factors to calculate the LCM of 87110 and 87121.

LCM(87110,87121) = 2¹ × 5¹ × 31¹ × 281¹ × 87121¹
LCM(87110,87121) = 7589110310