What is the Least Common Multiple of 97310 and 97314?

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 97310 and 97314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97310 and 97314, than apply into the LCM equation.

GCF(97310,97314) = 2
LCM(97310,97314) = ( 97310 × 97314) / 2
LCM(97310,97314) = 9469625340 / 2
LCM(97310,97314) = 4734812670

Least Common Multiple (LCM) of 97310 and 97314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97310 and 97314. First we will calculate the prime factors of 97310 and 97314.

Prime Factorization of 97310

Prime Factorization of 97314

Now multiplying the highest exponent prime factors to calculate the LCM of 97310 and 97314.

LCM(97310,97314) = 2¹ × 5¹ × 37¹ × 263¹ × 3¹ × 7² × 331¹
LCM(97310,97314) = 4734812670