What is the Least Common Multiple of 18880 and 18896?

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 18880 and 18896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18880 and 18896, than apply into the LCM equation.

GCF(18880,18896) = 16
LCM(18880,18896) = ( 18880 × 18896) / 16
LCM(18880,18896) = 356756480 / 16
LCM(18880,18896) = 22297280

Least Common Multiple (LCM) of 18880 and 18896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18880 and 18896. First we will calculate the prime factors of 18880 and 18896.

Prime Factorization of 18880

Prime Factorization of 18896

Now multiplying the highest exponent prime factors to calculate the LCM of 18880 and 18896.

LCM(18880,18896) = 2⁶ × 5¹ × 59¹ × 1181¹
LCM(18880,18896) = 22297280