What is the Least Common Multiple of 97478 and 97484?

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 97478 and 97484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97478 and 97484, than apply into the LCM equation.

GCF(97478,97484) = 2
LCM(97478,97484) = ( 97478 × 97484) / 2
LCM(97478,97484) = 9502545352 / 2
LCM(97478,97484) = 4751272676

Least Common Multiple (LCM) of 97478 and 97484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97478 and 97484. First we will calculate the prime factors of 97478 and 97484.

Prime Factorization of 97478

Prime Factorization of 97484

Now multiplying the highest exponent prime factors to calculate the LCM of 97478 and 97484.

LCM(97478,97484) = 2² × 17¹ × 47¹ × 61¹ × 24371¹
LCM(97478,97484) = 4751272676