What is the Least Common Multiple of 91272 and 91287?

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 91272 and 91287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91272 and 91287, than apply into the LCM equation.

GCF(91272,91287) = 3
LCM(91272,91287) = ( 91272 × 91287) / 3
LCM(91272,91287) = 8331947064 / 3
LCM(91272,91287) = 2777315688

Least Common Multiple (LCM) of 91272 and 91287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91272 and 91287. First we will calculate the prime factors of 91272 and 91287.

Prime Factorization of 91272

Prime Factorization of 91287

Now multiplying the highest exponent prime factors to calculate the LCM of 91272 and 91287.

LCM(91272,91287) = 2³ × 3⁴ × 3803¹ × 7² × 23¹
LCM(91272,91287) = 2777315688