What is the Least Common Multiple of 77227 and 77231?
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 77227 and 77231 is 5964318437.
LCM(77227,77231) = 5964318437
Least Common Multiple of 77227 and 77231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77227 and 77231, than apply into the LCM equation.
GCF(77227,77231) = 1
LCM(77227,77231) = ( 77227 × 77231) / 1
LCM(77227,77231) = 5964318437 / 1
LCM(77227,77231) = 5964318437
Least Common Multiple (LCM) of 77227 and 77231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77227 and 77231. First we will calculate the prime factors of 77227 and 77231.
Prime Factorization of 77227
Prime factors of 77227 are 29, 2663. Prime factorization of 77227 in exponential form is:
77227 = 291 × 26631
Prime Factorization of 77231
Prime factors of 77231 are 7, 11, 17, 59. Prime factorization of 77231 in exponential form is:
77231 = 71 × 111 × 171 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 77227 and 77231.
LCM(77227,77231) = 291 × 26631 × 71 × 111 × 171 × 591
LCM(77227,77231) = 5964318437
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