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What is the Least Common Multiple of 53537 and 53551?

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 53537 and 53551 is 2866959887.

LCM(53537,53551) = 2866959887

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Least Common Multiple of 53537 and 53551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53537 and 53551, than apply into the LCM equation.

GCF(53537,53551) = 1
LCM(53537,53551) = ( 53537 × 53551) / 1
LCM(53537,53551) = 2866959887 / 1
LCM(53537,53551) = 2866959887

Least Common Multiple (LCM) of 53537 and 53551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53537 and 53551. First we will calculate the prime factors of 53537 and 53551.

Prime Factorization of 53537

Prime factors of 53537 are 11, 31, 157. Prime factorization of 53537 in exponential form is:

53537 = 111 × 311 × 1571

Prime Factorization of 53551

Prime factors of 53551 are 53551. Prime factorization of 53551 in exponential form is:

53551 = 535511

Now multiplying the highest exponent prime factors to calculate the LCM of 53537 and 53551.

LCM(53537,53551) = 111 × 311 × 1571 × 535511
LCM(53537,53551) = 2866959887