What is the Least Common Multiple of 76477 and 76487?
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 76477 and 76487 is 5849496299.
LCM(76477,76487) = 5849496299
Least Common Multiple of 76477 and 76487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76477 and 76487, than apply into the LCM equation.
GCF(76477,76487) = 1
LCM(76477,76487) = ( 76477 × 76487) / 1
LCM(76477,76487) = 5849496299 / 1
LCM(76477,76487) = 5849496299
Least Common Multiple (LCM) of 76477 and 76487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76477 and 76487. First we will calculate the prime factors of 76477 and 76487.
Prime Factorization of 76477
Prime factors of 76477 are 31, 2467. Prime factorization of 76477 in exponential form is:
76477 = 311 × 24671
Prime Factorization of 76487
Prime factors of 76487 are 76487. Prime factorization of 76487 in exponential form is:
76487 = 764871
Now multiplying the highest exponent prime factors to calculate the LCM of 76477 and 76487.
LCM(76477,76487) = 311 × 24671 × 764871
LCM(76477,76487) = 5849496299
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