What is the Least Common Multiple of 8880 and 8894?

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 8880 and 8894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8880 and 8894, than apply into the LCM equation.

GCF(8880,8894) = 2
LCM(8880,8894) = ( 8880 × 8894) / 2
LCM(8880,8894) = 78978720 / 2
LCM(8880,8894) = 39489360

Least Common Multiple (LCM) of 8880 and 8894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8880 and 8894. First we will calculate the prime factors of 8880 and 8894.

Prime Factorization of 8880

Prime Factorization of 8894

Now multiplying the highest exponent prime factors to calculate the LCM of 8880 and 8894.

LCM(8880,8894) = 2⁴ × 3¹ × 5¹ × 37¹ × 4447¹
LCM(8880,8894) = 39489360