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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 (LCM) of 66456 and 66470 is 2208665160.

LCM(66456,66470) = 2208665160

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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 factors of 66456 are 2, 3, 13, 71. Prime factorization of 66456 in exponential form is:

66456 = 23 × 32 × 131 × 711

Prime Factorization of 66470

Prime factors of 66470 are 2, 5, 17, 23. Prime factorization of 66470 in exponential form is:

66470 = 21 × 51 × 172 × 231

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