What is the Least Common Multiple of 76961 and 76965?
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 76961 and 76965 is 5923303365.
LCM(76961,76965) = 5923303365
Least Common Multiple of 76961 and 76965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76961 and 76965, than apply into the LCM equation.
GCF(76961,76965) = 1
LCM(76961,76965) = ( 76961 × 76965) / 1
LCM(76961,76965) = 5923303365 / 1
LCM(76961,76965) = 5923303365
Least Common Multiple (LCM) of 76961 and 76965 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76961 and 76965. First we will calculate the prime factors of 76961 and 76965.
Prime Factorization of 76961
Prime factors of 76961 are 76961. Prime factorization of 76961 in exponential form is:
76961 = 769611
Prime Factorization of 76965
Prime factors of 76965 are 3, 5, 7, 733. Prime factorization of 76965 in exponential form is:
76965 = 31 × 51 × 71 × 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 76961 and 76965.
LCM(76961,76965) = 769611 × 31 × 51 × 71 × 7331
LCM(76961,76965) = 5923303365
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