What is the Least Common Multiple of 97404 and 97419?

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 97404 and 97419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97404 and 97419, than apply into the LCM equation.

GCF(97404,97419) = 3
LCM(97404,97419) = ( 97404 × 97419) / 3
LCM(97404,97419) = 9489000276 / 3
LCM(97404,97419) = 3163000092

Least Common Multiple (LCM) of 97404 and 97419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97404 and 97419. First we will calculate the prime factors of 97404 and 97419.

Prime Factorization of 97404

Prime Factorization of 97419

Now multiplying the highest exponent prime factors to calculate the LCM of 97404 and 97419.

LCM(97404,97419) = 2² × 3¹ × 8117¹ × 7¹ × 4639¹
LCM(97404,97419) = 3163000092