What is the Least Common Multiple of 77959 and 77976?
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 77976 is 6078930984.
LCM(77959,77976) = 6078930984
Least Common Multiple of 77959 and 77976 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 77976, than apply into the LCM equation.
GCF(77959,77976) = 1
LCM(77959,77976) = ( 77959 × 77976) / 1
LCM(77959,77976) = 6078930984 / 1
LCM(77959,77976) = 6078930984
Least Common Multiple (LCM) of 77959 and 77976 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77959 and 77976. First we will calculate the prime factors of 77959 and 77976.
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 77976
Prime factors of 77976 are 2, 3, 19. Prime factorization of 77976 in exponential form is:
77976 = 23 × 33 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 77959 and 77976.
LCM(77959,77976) = 72 × 371 × 431 × 23 × 33 × 192
LCM(77959,77976) = 6078930984
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