What is the Least Common Multiple of 97900 and 97912?

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 97900 and 97912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97900 and 97912, than apply into the LCM equation.

GCF(97900,97912) = 4
LCM(97900,97912) = ( 97900 × 97912) / 4
LCM(97900,97912) = 9585584800 / 4
LCM(97900,97912) = 2396396200

Least Common Multiple (LCM) of 97900 and 97912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97900 and 97912. First we will calculate the prime factors of 97900 and 97912.

Prime Factorization of 97900

Prime Factorization of 97912

Now multiplying the highest exponent prime factors to calculate the LCM of 97900 and 97912.

LCM(97900,97912) = 2³ × 5² × 11¹ × 89¹ × 12239¹
LCM(97900,97912) = 2396396200