What is the Least Common Multiple of 54896 and 54902?

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 54896 and 54902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54896 and 54902, than apply into the LCM equation.

GCF(54896,54902) = 2
LCM(54896,54902) = ( 54896 × 54902) / 2
LCM(54896,54902) = 3013900192 / 2
LCM(54896,54902) = 1506950096

Least Common Multiple (LCM) of 54896 and 54902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54896 and 54902. First we will calculate the prime factors of 54896 and 54902.

Prime Factorization of 54896

Prime Factorization of 54902

Now multiplying the highest exponent prime factors to calculate the LCM of 54896 and 54902.

LCM(54896,54902) = 2⁴ × 47¹ × 73¹ × 97¹ × 283¹
LCM(54896,54902) = 1506950096