What is the Least Common Multiple of 88971 and 88990?

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 88971 and 88990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88971 and 88990, than apply into the LCM equation.

GCF(88971,88990) = 1
LCM(88971,88990) = ( 88971 × 88990) / 1
LCM(88971,88990) = 7917529290 / 1
LCM(88971,88990) = 7917529290

Least Common Multiple (LCM) of 88971 and 88990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88971 and 88990. First we will calculate the prime factors of 88971 and 88990.

Prime Factorization of 88971

Prime Factorization of 88990

Now multiplying the highest exponent prime factors to calculate the LCM of 88971 and 88990.

LCM(88971,88990) = 3¹ × 47¹ × 631¹ × 2¹ × 5¹ × 11¹ × 809¹
LCM(88971,88990) = 7917529290