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What is the Least Common Multiple of 13236 and 13250?

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 13236 and 13250 is 87688500.

LCM(13236,13250) = 87688500

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Least Common Multiple of 13236 and 13250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13236 and 13250, than apply into the LCM equation.

GCF(13236,13250) = 2
LCM(13236,13250) = ( 13236 × 13250) / 2
LCM(13236,13250) = 175377000 / 2
LCM(13236,13250) = 87688500

Least Common Multiple (LCM) of 13236 and 13250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13236 and 13250. First we will calculate the prime factors of 13236 and 13250.

Prime Factorization of 13236

Prime factors of 13236 are 2, 3, 1103. Prime factorization of 13236 in exponential form is:

13236 = 22 × 31 × 11031

Prime Factorization of 13250

Prime factors of 13250 are 2, 5, 53. Prime factorization of 13250 in exponential form is:

13250 = 21 × 53 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 13236 and 13250.

LCM(13236,13250) = 22 × 31 × 11031 × 53 × 531
LCM(13236,13250) = 87688500