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What is the Least Common Multiple of 52136 and 52145?

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 52136 and 52145 is 2718631720.

LCM(52136,52145) = 2718631720

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Least Common Multiple of 52136 and 52145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52136 and 52145, than apply into the LCM equation.

GCF(52136,52145) = 1
LCM(52136,52145) = ( 52136 × 52145) / 1
LCM(52136,52145) = 2718631720 / 1
LCM(52136,52145) = 2718631720

Least Common Multiple (LCM) of 52136 and 52145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52136 and 52145. First we will calculate the prime factors of 52136 and 52145.

Prime Factorization of 52136

Prime factors of 52136 are 2, 7, 19. Prime factorization of 52136 in exponential form is:

52136 = 23 × 73 × 191

Prime Factorization of 52145

Prime factors of 52145 are 5, 10429. Prime factorization of 52145 in exponential form is:

52145 = 51 × 104291

Now multiplying the highest exponent prime factors to calculate the LCM of 52136 and 52145.

LCM(52136,52145) = 23 × 73 × 191 × 51 × 104291
LCM(52136,52145) = 2718631720