What is the Least Common Multiple of 77267 and 77280?
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 77267 and 77280 is 5971193760.
LCM(77267,77280) = 5971193760
Least Common Multiple of 77267 and 77280 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77267 and 77280, than apply into the LCM equation.
GCF(77267,77280) = 1
LCM(77267,77280) = ( 77267 × 77280) / 1
LCM(77267,77280) = 5971193760 / 1
LCM(77267,77280) = 5971193760
Least Common Multiple (LCM) of 77267 and 77280 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77267 and 77280. First we will calculate the prime factors of 77267 and 77280.
Prime Factorization of 77267
Prime factors of 77267 are 77267. Prime factorization of 77267 in exponential form is:
77267 = 772671
Prime Factorization of 77280
Prime factors of 77280 are 2, 3, 5, 7, 23. Prime factorization of 77280 in exponential form is:
77280 = 25 × 31 × 51 × 71 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 77267 and 77280.
LCM(77267,77280) = 772671 × 25 × 31 × 51 × 71 × 231
LCM(77267,77280) = 5971193760
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