What is the Least Common Multiple of 91600 and 91609?

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 91600 and 91609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91600 and 91609, than apply into the LCM equation.

GCF(91600,91609) = 1
LCM(91600,91609) = ( 91600 × 91609) / 1
LCM(91600,91609) = 8391384400 / 1
LCM(91600,91609) = 8391384400

Least Common Multiple (LCM) of 91600 and 91609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91600 and 91609. First we will calculate the prime factors of 91600 and 91609.

Prime Factorization of 91600

Prime Factorization of 91609

Now multiplying the highest exponent prime factors to calculate the LCM of 91600 and 91609.

LCM(91600,91609) = 2⁴ × 5² × 229¹ × 7¹ × 23¹ × 569¹
LCM(91600,91609) = 8391384400