What is the Least Common Multiple of 56880 and 56894?

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 56880 and 56894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56880 and 56894, than apply into the LCM equation.

GCF(56880,56894) = 2
LCM(56880,56894) = ( 56880 × 56894) / 2
LCM(56880,56894) = 3236130720 / 2
LCM(56880,56894) = 1618065360

Least Common Multiple (LCM) of 56880 and 56894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56880 and 56894. First we will calculate the prime factors of 56880 and 56894.

Prime Factorization of 56880

Prime Factorization of 56894

Now multiplying the highest exponent prime factors to calculate the LCM of 56880 and 56894.

LCM(56880,56894) = 2⁴ × 3² × 5¹ × 79¹ × 28447¹
LCM(56880,56894) = 1618065360