What is the Least Common Multiple of 5196 and 5208?
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 5196 and 5208 is 2255064.
LCM(5196,5208) = 2255064
Least Common Multiple of 5196 and 5208 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5196 and 5208, than apply into the LCM equation.
GCF(5196,5208) = 12
LCM(5196,5208) = ( 5196 × 5208) / 12
LCM(5196,5208) = 27060768 / 12
LCM(5196,5208) = 2255064
Least Common Multiple (LCM) of 5196 and 5208 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5196 and 5208. First we will calculate the prime factors of 5196 and 5208.
Prime Factorization of 5196
Prime factors of 5196 are 2, 3, 433. Prime factorization of 5196 in exponential form is:
5196 = 22 × 31 × 4331
Prime Factorization of 5208
Prime factors of 5208 are 2, 3, 7, 31. Prime factorization of 5208 in exponential form is:
5208 = 23 × 31 × 71 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 5196 and 5208.
LCM(5196,5208) = 23 × 31 × 4331 × 71 × 311
LCM(5196,5208) = 2255064
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