What is the Least Common Multiple of 97273 and 97287?

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 97273 and 97287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97273 and 97287, than apply into the LCM equation.

GCF(97273,97287) = 1
LCM(97273,97287) = ( 97273 × 97287) / 1
LCM(97273,97287) = 9463398351 / 1
LCM(97273,97287) = 9463398351

Least Common Multiple (LCM) of 97273 and 97287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97273 and 97287. First we will calculate the prime factors of 97273 and 97287.

Prime Factorization of 97273

Prime Factorization of 97287

Now multiplying the highest exponent prime factors to calculate the LCM of 97273 and 97287.

LCM(97273,97287) = 11¹ × 37¹ × 239¹ × 3¹ × 32429¹
LCM(97273,97287) = 9463398351