What is the Least Common Multiple of 97264 and 97273?

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 97264 and 97273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97264 and 97273, than apply into the LCM equation.

GCF(97264,97273) = 1
LCM(97264,97273) = ( 97264 × 97273) / 1
LCM(97264,97273) = 9461161072 / 1
LCM(97264,97273) = 9461161072

Least Common Multiple (LCM) of 97264 and 97273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97264 and 97273. First we will calculate the prime factors of 97264 and 97273.

Prime Factorization of 97264

Prime Factorization of 97273

Now multiplying the highest exponent prime factors to calculate the LCM of 97264 and 97273.

LCM(97264,97273) = 2⁴ × 6079¹ × 11¹ × 37¹ × 239¹
LCM(97264,97273) = 9461161072