What is the Least Common Multiple of 97424 and 97430?

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 97424 and 97430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97424 and 97430, than apply into the LCM equation.

GCF(97424,97430) = 2
LCM(97424,97430) = ( 97424 × 97430) / 2
LCM(97424,97430) = 9492020320 / 2
LCM(97424,97430) = 4746010160

Least Common Multiple (LCM) of 97424 and 97430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97424 and 97430. First we will calculate the prime factors of 97424 and 97430.

Prime Factorization of 97424

Prime Factorization of 97430

Now multiplying the highest exponent prime factors to calculate the LCM of 97424 and 97430.

LCM(97424,97430) = 2⁴ × 6089¹ × 5¹ × 9743¹
LCM(97424,97430) = 4746010160