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What is the Least Common Multiple of 53426 and 53435?

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 53426 and 53435 is 2854818310.

LCM(53426,53435) = 2854818310

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Least Common Multiple of 53426 and 53435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53426 and 53435, than apply into the LCM equation.

GCF(53426,53435) = 1
LCM(53426,53435) = ( 53426 × 53435) / 1
LCM(53426,53435) = 2854818310 / 1
LCM(53426,53435) = 2854818310

Least Common Multiple (LCM) of 53426 and 53435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53426 and 53435. First we will calculate the prime factors of 53426 and 53435.

Prime Factorization of 53426

Prime factors of 53426 are 2, 26713. Prime factorization of 53426 in exponential form is:

53426 = 21 × 267131

Prime Factorization of 53435

Prime factors of 53435 are 5, 10687. Prime factorization of 53435 in exponential form is:

53435 = 51 × 106871

Now multiplying the highest exponent prime factors to calculate the LCM of 53426 and 53435.

LCM(53426,53435) = 21 × 267131 × 51 × 106871
LCM(53426,53435) = 2854818310