What is the Least Common Multiple of 97587 and 97602?

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 97587 and 97602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97587 and 97602, than apply into the LCM equation.

GCF(97587,97602) = 3
LCM(97587,97602) = ( 97587 × 97602) / 3
LCM(97587,97602) = 9524686374 / 3
LCM(97587,97602) = 3174895458

Least Common Multiple (LCM) of 97587 and 97602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97587 and 97602. First we will calculate the prime factors of 97587 and 97602.

Prime Factorization of 97587

Prime Factorization of 97602

Now multiplying the highest exponent prime factors to calculate the LCM of 97587 and 97602.

LCM(97587,97602) = 3² × 7¹ × 1549¹ × 2¹ × 16267¹
LCM(97587,97602) = 3174895458