What is the Least Common Multiple of 97306 and 97311?

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 97306 and 97311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97306 and 97311, than apply into the LCM equation.

GCF(97306,97311) = 1
LCM(97306,97311) = ( 97306 × 97311) / 1
LCM(97306,97311) = 9468944166 / 1
LCM(97306,97311) = 9468944166

Least Common Multiple (LCM) of 97306 and 97311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97306 and 97311. First we will calculate the prime factors of 97306 and 97311.

Prime Factorization of 97306

Prime Factorization of 97311

Now multiplying the highest exponent prime factors to calculate the LCM of 97306 and 97311.

LCM(97306,97311) = 2¹ × 11¹ × 4423¹ × 3¹ × 163¹ × 199¹
LCM(97306,97311) = 9468944166