What is the Least Common Multiple of 77959 and 77965?
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 77959 and 77965 is 6078073435.
LCM(77959,77965) = 6078073435
Least Common Multiple of 77959 and 77965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77959 and 77965, than apply into the LCM equation.
GCF(77959,77965) = 1
LCM(77959,77965) = ( 77959 × 77965) / 1
LCM(77959,77965) = 6078073435 / 1
LCM(77959,77965) = 6078073435
Least Common Multiple (LCM) of 77959 and 77965 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77959 and 77965. First we will calculate the prime factors of 77959 and 77965.
Prime Factorization of 77959
Prime factors of 77959 are 7, 37, 43. Prime factorization of 77959 in exponential form is:
77959 = 72 × 371 × 431
Prime Factorization of 77965
Prime factors of 77965 are 5, 31, 503. Prime factorization of 77965 in exponential form is:
77965 = 51 × 311 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 77959 and 77965.
LCM(77959,77965) = 72 × 371 × 431 × 51 × 311 × 5031
LCM(77959,77965) = 6078073435
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