What is the Least Common Multiple of 88995 and 88999?

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 88995 and 88999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88995 and 88999, than apply into the LCM equation.

GCF(88995,88999) = 1
LCM(88995,88999) = ( 88995 × 88999) / 1
LCM(88995,88999) = 7920466005 / 1
LCM(88995,88999) = 7920466005

Least Common Multiple (LCM) of 88995 and 88999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88995 and 88999. First we will calculate the prime factors of 88995 and 88999.

Prime Factorization of 88995

Prime Factorization of 88999

Now multiplying the highest exponent prime factors to calculate the LCM of 88995 and 88999.

LCM(88995,88999) = 3¹ × 5¹ × 17¹ × 349¹ × 61¹ × 1459¹
LCM(88995,88999) = 7920466005