What is the Least Common Multiple of 77010 and 77024?
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 77010 and 77024 is 2965809120.
LCM(77010,77024) = 2965809120
Least Common Multiple of 77010 and 77024 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77010 and 77024, than apply into the LCM equation.
GCF(77010,77024) = 2
LCM(77010,77024) = ( 77010 × 77024) / 2
LCM(77010,77024) = 5931618240 / 2
LCM(77010,77024) = 2965809120
Least Common Multiple (LCM) of 77010 and 77024 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77010 and 77024. First we will calculate the prime factors of 77010 and 77024.
Prime Factorization of 77010
Prime factors of 77010 are 2, 3, 5, 17, 151. Prime factorization of 77010 in exponential form is:
77010 = 21 × 31 × 51 × 171 × 1511
Prime Factorization of 77024
Prime factors of 77024 are 2, 29, 83. Prime factorization of 77024 in exponential form is:
77024 = 25 × 291 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 77010 and 77024.
LCM(77010,77024) = 25 × 31 × 51 × 171 × 1511 × 291 × 831
LCM(77010,77024) = 2965809120
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