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What is the Least Common Multiple of 52427 and 52435?

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 52427 and 52435 is 2749009745.

LCM(52427,52435) = 2749009745

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Least Common Multiple of 52427 and 52435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52427 and 52435, than apply into the LCM equation.

GCF(52427,52435) = 1
LCM(52427,52435) = ( 52427 × 52435) / 1
LCM(52427,52435) = 2749009745 / 1
LCM(52427,52435) = 2749009745

Least Common Multiple (LCM) of 52427 and 52435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52427 and 52435. First we will calculate the prime factors of 52427 and 52435.

Prime Factorization of 52427

Prime factors of 52427 are 103, 509. Prime factorization of 52427 in exponential form is:

52427 = 1031 × 5091

Prime Factorization of 52435

Prime factors of 52435 are 5, 10487. Prime factorization of 52435 in exponential form is:

52435 = 51 × 104871

Now multiplying the highest exponent prime factors to calculate the LCM of 52427 and 52435.

LCM(52427,52435) = 1031 × 5091 × 51 × 104871
LCM(52427,52435) = 2749009745