What is the Least Common Multiple of 98880 and 98896?

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 98880 and 98896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98880 and 98896, than apply into the LCM equation.

GCF(98880,98896) = 16
LCM(98880,98896) = ( 98880 × 98896) / 16
LCM(98880,98896) = 9778836480 / 16
LCM(98880,98896) = 611177280

Least Common Multiple (LCM) of 98880 and 98896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98880 and 98896. First we will calculate the prime factors of 98880 and 98896.

Prime Factorization of 98880

Prime Factorization of 98896

Now multiplying the highest exponent prime factors to calculate the LCM of 98880 and 98896.

LCM(98880,98896) = 2⁶ × 3¹ × 5¹ × 103¹ × 7¹ × 883¹
LCM(98880,98896) = 611177280