What is the Least Common Multiple of 76537 and 76555?
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 76537 and 76555 is 5859290035.
LCM(76537,76555) = 5859290035
Least Common Multiple of 76537 and 76555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76537 and 76555, than apply into the LCM equation.
GCF(76537,76555) = 1
LCM(76537,76555) = ( 76537 × 76555) / 1
LCM(76537,76555) = 5859290035 / 1
LCM(76537,76555) = 5859290035
Least Common Multiple (LCM) of 76537 and 76555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76537 and 76555. First we will calculate the prime factors of 76537 and 76555.
Prime Factorization of 76537
Prime factors of 76537 are 76537. Prime factorization of 76537 in exponential form is:
76537 = 765371
Prime Factorization of 76555
Prime factors of 76555 are 5, 61, 251. Prime factorization of 76555 in exponential form is:
76555 = 51 × 611 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 76537 and 76555.
LCM(76537,76555) = 765371 × 51 × 611 × 2511
LCM(76537,76555) = 5859290035
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