What is the Least Common Multiple of 20878 and 20896?

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 20878 and 20896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20878 and 20896, than apply into the LCM equation.

GCF(20878,20896) = 2
LCM(20878,20896) = ( 20878 × 20896) / 2
LCM(20878,20896) = 436266688 / 2
LCM(20878,20896) = 218133344

Least Common Multiple (LCM) of 20878 and 20896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20878 and 20896. First we will calculate the prime factors of 20878 and 20896.

Prime Factorization of 20878

Prime Factorization of 20896

Now multiplying the highest exponent prime factors to calculate the LCM of 20878 and 20896.

LCM(20878,20896) = 2⁵ × 11¹ × 13¹ × 73¹ × 653¹
LCM(20878,20896) = 218133344