What is the Least Common Multiple of 5231 and 5246?
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 5231 and 5246 is 27441826.
LCM(5231,5246) = 27441826
Least Common Multiple of 5231 and 5246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5231 and 5246, than apply into the LCM equation.
GCF(5231,5246) = 1
LCM(5231,5246) = ( 5231 × 5246) / 1
LCM(5231,5246) = 27441826 / 1
LCM(5231,5246) = 27441826
Least Common Multiple (LCM) of 5231 and 5246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5231 and 5246. First we will calculate the prime factors of 5231 and 5246.
Prime Factorization of 5231
Prime factors of 5231 are 5231. Prime factorization of 5231 in exponential form is:
5231 = 52311
Prime Factorization of 5246
Prime factors of 5246 are 2, 43, 61. Prime factorization of 5246 in exponential form is:
5246 = 21 × 431 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 5231 and 5246.
LCM(5231,5246) = 52311 × 21 × 431 × 611
LCM(5231,5246) = 27441826
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