What is the Least Common Multiple of 76987 and 77002?
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 77002 is 5928152974.
LCM(76987,77002) = 5928152974
Least Common Multiple of 76987 and 77002 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 77002, than apply into the LCM equation.
GCF(76987,77002) = 1
LCM(76987,77002) = ( 76987 × 77002) / 1
LCM(76987,77002) = 5928152974 / 1
LCM(76987,77002) = 5928152974
Least Common Multiple (LCM) of 76987 and 77002 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76987 and 77002. First we will calculate the prime factors of 76987 and 77002.
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 77002
Prime factors of 77002 are 2, 38501. Prime factorization of 77002 in exponential form is:
77002 = 21 × 385011
Now multiplying the highest exponent prime factors to calculate the LCM of 76987 and 77002.
LCM(76987,77002) = 1671 × 4611 × 21 × 385011
LCM(76987,77002) = 5928152974
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