What is the Least Common Multiple of 99880 and 99888?

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 99880 and 99888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99880 and 99888, than apply into the LCM equation.

GCF(99880,99888) = 8
LCM(99880,99888) = ( 99880 × 99888) / 8
LCM(99880,99888) = 9976813440 / 8
LCM(99880,99888) = 1247101680

Least Common Multiple (LCM) of 99880 and 99888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99880 and 99888. First we will calculate the prime factors of 99880 and 99888.

Prime Factorization of 99880

Prime Factorization of 99888

Now multiplying the highest exponent prime factors to calculate the LCM of 99880 and 99888.

LCM(99880,99888) = 2⁴ × 5¹ × 11¹ × 227¹ × 3¹ × 2081¹
LCM(99880,99888) = 1247101680