What is the Least Common Multiple of 76993 and 77004?
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 76993 and 77004 is 5928768972.
LCM(76993,77004) = 5928768972
Least Common Multiple of 76993 and 77004 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76993 and 77004, than apply into the LCM equation.
GCF(76993,77004) = 1
LCM(76993,77004) = ( 76993 × 77004) / 1
LCM(76993,77004) = 5928768972 / 1
LCM(76993,77004) = 5928768972
Least Common Multiple (LCM) of 76993 and 77004 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76993 and 77004. First we will calculate the prime factors of 76993 and 77004.
Prime Factorization of 76993
Prime factors of 76993 are 7, 17, 647. Prime factorization of 76993 in exponential form is:
76993 = 71 × 171 × 6471
Prime Factorization of 77004
Prime factors of 77004 are 2, 3, 23, 31. Prime factorization of 77004 in exponential form is:
77004 = 22 × 33 × 231 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 76993 and 77004.
LCM(76993,77004) = 71 × 171 × 6471 × 22 × 33 × 231 × 311
LCM(76993,77004) = 5928768972
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