What is the Least Common Multiple of 52459 and 52467?
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 52459 and 52467 is 2752366353.
LCM(52459,52467) = 2752366353
Least Common Multiple of 52459 and 52467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52459 and 52467, than apply into the LCM equation.
GCF(52459,52467) = 1
LCM(52459,52467) = ( 52459 × 52467) / 1
LCM(52459,52467) = 2752366353 / 1
LCM(52459,52467) = 2752366353
Least Common Multiple (LCM) of 52459 and 52467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52459 and 52467. First we will calculate the prime factors of 52459 and 52467.
Prime Factorization of 52459
Prime factors of 52459 are 11, 19, 251. Prime factorization of 52459 in exponential form is:
52459 = 111 × 191 × 2511
Prime Factorization of 52467
Prime factors of 52467 are 3, 17489. Prime factorization of 52467 in exponential form is:
52467 = 31 × 174891
Now multiplying the highest exponent prime factors to calculate the LCM of 52459 and 52467.
LCM(52459,52467) = 111 × 191 × 2511 × 31 × 174891
LCM(52459,52467) = 2752366353
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Related Least Common Multiples of 52467
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