What is the Least Common Multiple of 53863 and 53882?
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 53863 and 53882 is 2902246166.
LCM(53863,53882) = 2902246166
Least Common Multiple of 53863 and 53882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53863 and 53882, than apply into the LCM equation.
GCF(53863,53882) = 1
LCM(53863,53882) = ( 53863 × 53882) / 1
LCM(53863,53882) = 2902246166 / 1
LCM(53863,53882) = 2902246166
Least Common Multiple (LCM) of 53863 and 53882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53863 and 53882. First we will calculate the prime factors of 53863 and 53882.
Prime Factorization of 53863
Prime factors of 53863 are 61, 883. Prime factorization of 53863 in exponential form is:
53863 = 611 × 8831
Prime Factorization of 53882
Prime factors of 53882 are 2, 29, 929. Prime factorization of 53882 in exponential form is:
53882 = 21 × 291 × 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 53863 and 53882.
LCM(53863,53882) = 611 × 8831 × 21 × 291 × 9291
LCM(53863,53882) = 2902246166
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