What is the Least Common Multiple of 57456 and 57470?

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 57456 and 57470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57456 and 57470, than apply into the LCM equation.

GCF(57456,57470) = 14
LCM(57456,57470) = ( 57456 × 57470) / 14
LCM(57456,57470) = 3301996320 / 14
LCM(57456,57470) = 235856880

Least Common Multiple (LCM) of 57456 and 57470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57456 and 57470. First we will calculate the prime factors of 57456 and 57470.

Prime Factorization of 57456

Prime Factorization of 57470

Now multiplying the highest exponent prime factors to calculate the LCM of 57456 and 57470.

LCM(57456,57470) = 2⁴ × 3³ × 7¹ × 19¹ × 5¹ × 821¹
LCM(57456,57470) = 235856880