What is the Least Common Multiple of 73890 and 73896?

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 73890 and 73896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73890 and 73896, than apply into the LCM equation.

GCF(73890,73896) = 6
LCM(73890,73896) = ( 73890 × 73896) / 6
LCM(73890,73896) = 5460175440 / 6
LCM(73890,73896) = 910029240

Least Common Multiple (LCM) of 73890 and 73896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73890 and 73896. First we will calculate the prime factors of 73890 and 73896.

Prime Factorization of 73890

Prime Factorization of 73896

Now multiplying the highest exponent prime factors to calculate the LCM of 73890 and 73896.

LCM(73890,73896) = 2³ × 3² × 5¹ × 821¹ × 3079¹
LCM(73890,73896) = 910029240