What is the Least Common Multiple of 53867 and 53877?
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 53867 and 53877 is 2902192359.
LCM(53867,53877) = 2902192359
Least Common Multiple of 53867 and 53877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53867 and 53877, than apply into the LCM equation.
GCF(53867,53877) = 1
LCM(53867,53877) = ( 53867 × 53877) / 1
LCM(53867,53877) = 2902192359 / 1
LCM(53867,53877) = 2902192359
Least Common Multiple (LCM) of 53867 and 53877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53867 and 53877. First we will calculate the prime factors of 53867 and 53877.
Prime Factorization of 53867
Prime factors of 53867 are 11, 59, 83. Prime factorization of 53867 in exponential form is:
53867 = 111 × 591 × 831
Prime Factorization of 53877
Prime factors of 53877 are 3, 17959. Prime factorization of 53877 in exponential form is:
53877 = 31 × 179591
Now multiplying the highest exponent prime factors to calculate the LCM of 53867 and 53877.
LCM(53867,53877) = 111 × 591 × 831 × 31 × 179591
LCM(53867,53877) = 2902192359
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