What is the Least Common Multiple of 52862 and 52877?
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 52862 and 52877 is 2795183974.
LCM(52862,52877) = 2795183974
Least Common Multiple of 52862 and 52877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52862 and 52877, than apply into the LCM equation.
GCF(52862,52877) = 1
LCM(52862,52877) = ( 52862 × 52877) / 1
LCM(52862,52877) = 2795183974 / 1
LCM(52862,52877) = 2795183974
Least Common Multiple (LCM) of 52862 and 52877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52862 and 52877. First we will calculate the prime factors of 52862 and 52877.
Prime Factorization of 52862
Prime factors of 52862 are 2, 26431. Prime factorization of 52862 in exponential form is:
52862 = 21 × 264311
Prime Factorization of 52877
Prime factors of 52877 are 11, 19, 23. Prime factorization of 52877 in exponential form is:
52877 = 112 × 191 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 52862 and 52877.
LCM(52862,52877) = 21 × 264311 × 112 × 191 × 231
LCM(52862,52877) = 2795183974
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