What is the Least Common Multiple of 76469 and 76477?
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 76469 and 76477 is 5848119713.
LCM(76469,76477) = 5848119713
Least Common Multiple of 76469 and 76477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76469 and 76477, than apply into the LCM equation.
GCF(76469,76477) = 1
LCM(76469,76477) = ( 76469 × 76477) / 1
LCM(76469,76477) = 5848119713 / 1
LCM(76469,76477) = 5848119713
Least Common Multiple (LCM) of 76469 and 76477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76469 and 76477. First we will calculate the prime factors of 76469 and 76477.
Prime Factorization of 76469
Prime factors of 76469 are 47, 1627. Prime factorization of 76469 in exponential form is:
76469 = 471 × 16271
Prime Factorization of 76477
Prime factors of 76477 are 31, 2467. Prime factorization of 76477 in exponential form is:
76477 = 311 × 24671
Now multiplying the highest exponent prime factors to calculate the LCM of 76469 and 76477.
LCM(76469,76477) = 471 × 16271 × 311 × 24671
LCM(76469,76477) = 5848119713
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