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What is the Least Common Multiple of 53426 and 53437?

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 53437 is 2854925162.

LCM(53426,53437) = 2854925162

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Least Common Multiple of 53426 and 53437 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 53437, than apply into the LCM equation.

GCF(53426,53437) = 1
LCM(53426,53437) = ( 53426 × 53437) / 1
LCM(53426,53437) = 2854925162 / 1
LCM(53426,53437) = 2854925162

Least Common Multiple (LCM) of 53426 and 53437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53426 and 53437. First we will calculate the prime factors of 53426 and 53437.

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 53437

Prime factors of 53437 are 53437. Prime factorization of 53437 in exponential form is:

53437 = 534371

Now multiplying the highest exponent prime factors to calculate the LCM of 53426 and 53437.

LCM(53426,53437) = 21 × 267131 × 534371
LCM(53426,53437) = 2854925162