What is the Least Common Multiple of 99305 and 99313?

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 99305 and 99313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99305 and 99313, than apply into the LCM equation.

GCF(99305,99313) = 1
LCM(99305,99313) = ( 99305 × 99313) / 1
LCM(99305,99313) = 9862277465 / 1
LCM(99305,99313) = 9862277465

Least Common Multiple (LCM) of 99305 and 99313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99305 and 99313. First we will calculate the prime factors of 99305 and 99313.

Prime Factorization of 99305

Prime Factorization of 99313

Now multiplying the highest exponent prime factors to calculate the LCM of 99305 and 99313.

LCM(99305,99313) = 5¹ × 19861¹ × 19¹ × 5227¹
LCM(99305,99313) = 9862277465