What is the Least Common Multiple of 97038 and 97047?

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 97038 and 97047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97038 and 97047, than apply into the LCM equation.

GCF(97038,97047) = 9
LCM(97038,97047) = ( 97038 × 97047) / 9
LCM(97038,97047) = 9417246786 / 9
LCM(97038,97047) = 1046360754

Least Common Multiple (LCM) of 97038 and 97047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97038 and 97047. First we will calculate the prime factors of 97038 and 97047.

Prime Factorization of 97038

Prime Factorization of 97047

Now multiplying the highest exponent prime factors to calculate the LCM of 97038 and 97047.

LCM(97038,97047) = 2¹ × 3⁴ × 599¹ × 41¹ × 263¹
LCM(97038,97047) = 1046360754