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What is the Least Common Multiple of 36539 and 36557?

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 36539 and 36557 is 1335756223.

LCM(36539,36557) = 1335756223

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Least Common Multiple of 36539 and 36557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36539 and 36557, than apply into the LCM equation.

GCF(36539,36557) = 1
LCM(36539,36557) = ( 36539 × 36557) / 1
LCM(36539,36557) = 1335756223 / 1
LCM(36539,36557) = 1335756223

Least Common Multiple (LCM) of 36539 and 36557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36539 and 36557. First we will calculate the prime factors of 36539 and 36557.

Prime Factorization of 36539

Prime factors of 36539 are 61, 599. Prime factorization of 36539 in exponential form is:

36539 = 611 × 5991

Prime Factorization of 36557

Prime factors of 36557 are 139, 263. Prime factorization of 36557 in exponential form is:

36557 = 1391 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 36539 and 36557.

LCM(36539,36557) = 611 × 5991 × 1391 × 2631
LCM(36539,36557) = 1335756223