What is the Least Common Multiple of 91300 and 91316?

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 91300 and 91316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91300 and 91316, than apply into the LCM equation.

GCF(91300,91316) = 4
LCM(91300,91316) = ( 91300 × 91316) / 4
LCM(91300,91316) = 8337150800 / 4
LCM(91300,91316) = 2084287700

Least Common Multiple (LCM) of 91300 and 91316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91300 and 91316. First we will calculate the prime factors of 91300 and 91316.

Prime Factorization of 91300

Prime Factorization of 91316

Now multiplying the highest exponent prime factors to calculate the LCM of 91300 and 91316.

LCM(91300,91316) = 2² × 5² × 11¹ × 83¹ × 37¹ × 617¹
LCM(91300,91316) = 2084287700