What is the Least Common Multiple of 88880 and 88884?

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 88880 and 88884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88880 and 88884, than apply into the LCM equation.

GCF(88880,88884) = 4
LCM(88880,88884) = ( 88880 × 88884) / 4
LCM(88880,88884) = 7900009920 / 4
LCM(88880,88884) = 1975002480

Least Common Multiple (LCM) of 88880 and 88884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88880 and 88884. First we will calculate the prime factors of 88880 and 88884.

Prime Factorization of 88880

Prime Factorization of 88884

Now multiplying the highest exponent prime factors to calculate the LCM of 88880 and 88884.

LCM(88880,88884) = 2⁴ × 5¹ × 11¹ × 101¹ × 3³ × 823¹
LCM(88880,88884) = 1975002480