What is the Least Common Multiple of 66456 and 66470?

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 66456 and 66470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66456 and 66470, than apply into the LCM equation.

GCF(66456,66470) = 2
LCM(66456,66470) = ( 66456 × 66470) / 2
LCM(66456,66470) = 4417330320 / 2
LCM(66456,66470) = 2208665160

Least Common Multiple (LCM) of 66456 and 66470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66456 and 66470. First we will calculate the prime factors of 66456 and 66470.

Prime Factorization of 66456

Prime Factorization of 66470

Now multiplying the highest exponent prime factors to calculate the LCM of 66456 and 66470.

LCM(66456,66470) = 2³ × 3² × 13¹ × 71¹ × 5¹ × 17² × 23¹
LCM(66456,66470) = 2208665160