What is the Least Common Multiple of 52267 and 52277?
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 52267 and 52277 is 2732361959.
LCM(52267,52277) = 2732361959
Least Common Multiple of 52267 and 52277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52267 and 52277, than apply into the LCM equation.
GCF(52267,52277) = 1
LCM(52267,52277) = ( 52267 × 52277) / 1
LCM(52267,52277) = 2732361959 / 1
LCM(52267,52277) = 2732361959
Least Common Multiple (LCM) of 52267 and 52277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52267 and 52277. First we will calculate the prime factors of 52267 and 52277.
Prime Factorization of 52267
Prime factors of 52267 are 52267. Prime factorization of 52267 in exponential form is:
52267 = 522671
Prime Factorization of 52277
Prime factors of 52277 are 61, 857. Prime factorization of 52277 in exponential form is:
52277 = 611 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 52267 and 52277.
LCM(52267,52277) = 522671 × 611 × 8571
LCM(52267,52277) = 2732361959
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