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What is the Least Common Multiple of 35406 and 35422?

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 35406 and 35422 is 627075666.

LCM(35406,35422) = 627075666

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Least Common Multiple of 35406 and 35422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35406 and 35422, than apply into the LCM equation.

GCF(35406,35422) = 2
LCM(35406,35422) = ( 35406 × 35422) / 2
LCM(35406,35422) = 1254151332 / 2
LCM(35406,35422) = 627075666

Least Common Multiple (LCM) of 35406 and 35422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35406 and 35422. First we will calculate the prime factors of 35406 and 35422.

Prime Factorization of 35406

Prime factors of 35406 are 2, 3, 7, 281. Prime factorization of 35406 in exponential form is:

35406 = 21 × 32 × 71 × 2811

Prime Factorization of 35422

Prime factors of 35422 are 2, 89, 199. Prime factorization of 35422 in exponential form is:

35422 = 21 × 891 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 35406 and 35422.

LCM(35406,35422) = 21 × 32 × 71 × 2811 × 891 × 1991
LCM(35406,35422) = 627075666