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What is the Least Common Multiple of 10437 and 10452?

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 10437 and 10452 is 36362508.

LCM(10437,10452) = 36362508

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Least Common Multiple of 10437 and 10452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10437 and 10452, than apply into the LCM equation.

GCF(10437,10452) = 3
LCM(10437,10452) = ( 10437 × 10452) / 3
LCM(10437,10452) = 109087524 / 3
LCM(10437,10452) = 36362508

Least Common Multiple (LCM) of 10437 and 10452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10437 and 10452. First we will calculate the prime factors of 10437 and 10452.

Prime Factorization of 10437

Prime factors of 10437 are 3, 7, 71. Prime factorization of 10437 in exponential form is:

10437 = 31 × 72 × 711

Prime Factorization of 10452

Prime factors of 10452 are 2, 3, 13, 67. Prime factorization of 10452 in exponential form is:

10452 = 22 × 31 × 131 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 10437 and 10452.

LCM(10437,10452) = 31 × 72 × 711 × 22 × 131 × 671
LCM(10437,10452) = 36362508