What is the Least Common Multiple of 97456 and 97470?

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 97456 and 97470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97456 and 97470, than apply into the LCM equation.

GCF(97456,97470) = 2
LCM(97456,97470) = ( 97456 × 97470) / 2
LCM(97456,97470) = 9499036320 / 2
LCM(97456,97470) = 4749518160

Least Common Multiple (LCM) of 97456 and 97470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97456 and 97470. First we will calculate the prime factors of 97456 and 97470.

Prime Factorization of 97456

Prime Factorization of 97470

Now multiplying the highest exponent prime factors to calculate the LCM of 97456 and 97470.

LCM(97456,97470) = 2⁴ × 6091¹ × 3³ × 5¹ × 19²
LCM(97456,97470) = 4749518160