What is the Least Common Multiple of 97410 and 97428?

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 97410 and 97428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97410 and 97428, than apply into the LCM equation.

GCF(97410,97428) = 6
LCM(97410,97428) = ( 97410 × 97428) / 6
LCM(97410,97428) = 9490461480 / 6
LCM(97410,97428) = 1581743580

Least Common Multiple (LCM) of 97410 and 97428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97410 and 97428. First we will calculate the prime factors of 97410 and 97428.

Prime Factorization of 97410

Prime Factorization of 97428

Now multiplying the highest exponent prime factors to calculate the LCM of 97410 and 97428.

LCM(97410,97428) = 2² × 3¹ × 5¹ × 17¹ × 191¹ × 23¹ × 353¹
LCM(97410,97428) = 1581743580