What is the Least Common Multiple of 76987 and 77007?
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 76987 and 77007 is 5928537909.
LCM(76987,77007) = 5928537909
Least Common Multiple of 76987 and 77007 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76987 and 77007, than apply into the LCM equation.
GCF(76987,77007) = 1
LCM(76987,77007) = ( 76987 × 77007) / 1
LCM(76987,77007) = 5928537909 / 1
LCM(76987,77007) = 5928537909
Least Common Multiple (LCM) of 76987 and 77007 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76987 and 77007. First we will calculate the prime factors of 76987 and 77007.
Prime Factorization of 76987
Prime factors of 76987 are 167, 461. Prime factorization of 76987 in exponential form is:
76987 = 1671 × 4611
Prime Factorization of 77007
Prime factors of 77007 are 3, 7, 19, 193. Prime factorization of 77007 in exponential form is:
77007 = 31 × 71 × 191 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 76987 and 77007.
LCM(76987,77007) = 1671 × 4611 × 31 × 71 × 191 × 1931
LCM(76987,77007) = 5928537909
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