What is the Least Common Multiple of 77313 and 77332?
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 77313 and 77332 is 5978768916.
LCM(77313,77332) = 5978768916
Least Common Multiple of 77313 and 77332 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77313 and 77332, than apply into the LCM equation.
GCF(77313,77332) = 1
LCM(77313,77332) = ( 77313 × 77332) / 1
LCM(77313,77332) = 5978768916 / 1
LCM(77313,77332) = 5978768916
Least Common Multiple (LCM) of 77313 and 77332 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77313 and 77332. First we will calculate the prime factors of 77313 and 77332.
Prime Factorization of 77313
Prime factors of 77313 are 3, 25771. Prime factorization of 77313 in exponential form is:
77313 = 31 × 257711
Prime Factorization of 77332
Prime factors of 77332 are 2, 19333. Prime factorization of 77332 in exponential form is:
77332 = 22 × 193331
Now multiplying the highest exponent prime factors to calculate the LCM of 77313 and 77332.
LCM(77313,77332) = 31 × 257711 × 22 × 193331
LCM(77313,77332) = 5978768916
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