What is the Least Common Multiple of 88840 and 88857?

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 88840 and 88857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88840 and 88857, than apply into the LCM equation.

GCF(88840,88857) = 1
LCM(88840,88857) = ( 88840 × 88857) / 1
LCM(88840,88857) = 7894055880 / 1
LCM(88840,88857) = 7894055880

Least Common Multiple (LCM) of 88840 and 88857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88840 and 88857. First we will calculate the prime factors of 88840 and 88857.

Prime Factorization of 88840

Prime Factorization of 88857

Now multiplying the highest exponent prime factors to calculate the LCM of 88840 and 88857.

LCM(88840,88857) = 2³ × 5¹ × 2221¹ × 3⁴ × 1097¹
LCM(88840,88857) = 7894055880