What is the Least Common Multiple of 96896 and 96900?

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 96896 and 96900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96896 and 96900, than apply into the LCM equation.

GCF(96896,96900) = 4
LCM(96896,96900) = ( 96896 × 96900) / 4
LCM(96896,96900) = 9389222400 / 4
LCM(96896,96900) = 2347305600

Least Common Multiple (LCM) of 96896 and 96900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96896 and 96900. First we will calculate the prime factors of 96896 and 96900.

Prime Factorization of 96896

Prime Factorization of 96900

Now multiplying the highest exponent prime factors to calculate the LCM of 96896 and 96900.

LCM(96896,96900) = 2⁷ × 757¹ × 3¹ × 5² × 17¹ × 19¹
LCM(96896,96900) = 2347305600