What is the Least Common Multiple of 77873 and 77879?
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 77873 and 77879 is 6064671367.
LCM(77873,77879) = 6064671367
Least Common Multiple of 77873 and 77879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77873 and 77879, than apply into the LCM equation.
GCF(77873,77879) = 1
LCM(77873,77879) = ( 77873 × 77879) / 1
LCM(77873,77879) = 6064671367 / 1
LCM(77873,77879) = 6064671367
Least Common Multiple (LCM) of 77873 and 77879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77873 and 77879. First we will calculate the prime factors of 77873 and 77879.
Prime Factorization of 77873
Prime factors of 77873 are 43, 1811. Prime factorization of 77873 in exponential form is:
77873 = 431 × 18111
Prime Factorization of 77879
Prime factors of 77879 are 47, 1657. Prime factorization of 77879 in exponential form is:
77879 = 471 × 16571
Now multiplying the highest exponent prime factors to calculate the LCM of 77873 and 77879.
LCM(77873,77879) = 431 × 18111 × 471 × 16571
LCM(77873,77879) = 6064671367
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