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What is the Least Common Multiple of 55236 and 55249?

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 55236 and 55249 is 3051733764.

LCM(55236,55249) = 3051733764

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Least Common Multiple of 55236 and 55249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55236 and 55249, than apply into the LCM equation.

GCF(55236,55249) = 1
LCM(55236,55249) = ( 55236 × 55249) / 1
LCM(55236,55249) = 3051733764 / 1
LCM(55236,55249) = 3051733764

Least Common Multiple (LCM) of 55236 and 55249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55236 and 55249. First we will calculate the prime factors of 55236 and 55249.

Prime Factorization of 55236

Prime factors of 55236 are 2, 3, 4603. Prime factorization of 55236 in exponential form is:

55236 = 22 × 31 × 46031

Prime Factorization of 55249

Prime factors of 55249 are 55249. Prime factorization of 55249 in exponential form is:

55249 = 552491

Now multiplying the highest exponent prime factors to calculate the LCM of 55236 and 55249.

LCM(55236,55249) = 22 × 31 × 46031 × 552491
LCM(55236,55249) = 3051733764