What is the Least Common Multiple of 76522 and 76527?
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 76522 and 76527 is 5855999094.
LCM(76522,76527) = 5855999094
Least Common Multiple of 76522 and 76527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76522 and 76527, than apply into the LCM equation.
GCF(76522,76527) = 1
LCM(76522,76527) = ( 76522 × 76527) / 1
LCM(76522,76527) = 5855999094 / 1
LCM(76522,76527) = 5855999094
Least Common Multiple (LCM) of 76522 and 76527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76522 and 76527. First we will calculate the prime factors of 76522 and 76527.
Prime Factorization of 76522
Prime factors of 76522 are 2, 38261. Prime factorization of 76522 in exponential form is:
76522 = 21 × 382611
Prime Factorization of 76527
Prime factors of 76527 are 3, 11, 773. Prime factorization of 76527 in exponential form is:
76527 = 32 × 111 × 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 76522 and 76527.
LCM(76522,76527) = 21 × 382611 × 32 × 111 × 7731
LCM(76522,76527) = 5855999094
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