What is the Least Common Multiple of 87997 and 88016?

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 87997 and 88016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87997 and 88016, than apply into the LCM equation.

GCF(87997,88016) = 1
LCM(87997,88016) = ( 87997 × 88016) / 1
LCM(87997,88016) = 7745143952 / 1
LCM(87997,88016) = 7745143952

Least Common Multiple (LCM) of 87997 and 88016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87997 and 88016. First we will calculate the prime factors of 87997 and 88016.

Prime Factorization of 87997

Prime Factorization of 88016

Now multiplying the highest exponent prime factors to calculate the LCM of 87997 and 88016.

LCM(87997,88016) = 7¹ × 13¹ × 967¹ × 2⁴ × 5501¹
LCM(87997,88016) = 7745143952