What is the Least Common Multiple of 73896 and 73900?

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 73896 and 73900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73896 and 73900, than apply into the LCM equation.

GCF(73896,73900) = 4
LCM(73896,73900) = ( 73896 × 73900) / 4
LCM(73896,73900) = 5460914400 / 4
LCM(73896,73900) = 1365228600

Least Common Multiple (LCM) of 73896 and 73900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73896 and 73900. First we will calculate the prime factors of 73896 and 73900.

Prime Factorization of 73896

Prime Factorization of 73900

Now multiplying the highest exponent prime factors to calculate the LCM of 73896 and 73900.

LCM(73896,73900) = 2³ × 3¹ × 3079¹ × 5² × 739¹
LCM(73896,73900) = 1365228600