What is the Least Common Multiple of 77599 and 77605?
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 77599 and 77605 is 6022070395.
LCM(77599,77605) = 6022070395
Least Common Multiple of 77599 and 77605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77599 and 77605, than apply into the LCM equation.
GCF(77599,77605) = 1
LCM(77599,77605) = ( 77599 × 77605) / 1
LCM(77599,77605) = 6022070395 / 1
LCM(77599,77605) = 6022070395
Least Common Multiple (LCM) of 77599 and 77605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77599 and 77605. First we will calculate the prime factors of 77599 and 77605.
Prime Factorization of 77599
Prime factors of 77599 are 73, 1063. Prime factorization of 77599 in exponential form is:
77599 = 731 × 10631
Prime Factorization of 77605
Prime factors of 77605 are 5, 11, 17, 83. Prime factorization of 77605 in exponential form is:
77605 = 51 × 111 × 171 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 77599 and 77605.
LCM(77599,77605) = 731 × 10631 × 51 × 111 × 171 × 831
LCM(77599,77605) = 6022070395
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