What is the Least Common Multiple of 76969 and 76974?
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 76969 and 76974 is 5924611806.
LCM(76969,76974) = 5924611806
Least Common Multiple of 76969 and 76974 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76969 and 76974, than apply into the LCM equation.
GCF(76969,76974) = 1
LCM(76969,76974) = ( 76969 × 76974) / 1
LCM(76969,76974) = 5924611806 / 1
LCM(76969,76974) = 5924611806
Least Common Multiple (LCM) of 76969 and 76974 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76969 and 76974. First we will calculate the prime factors of 76969 and 76974.
Prime Factorization of 76969
Prime factors of 76969 are 19, 4051. Prime factorization of 76969 in exponential form is:
76969 = 191 × 40511
Prime Factorization of 76974
Prime factors of 76974 are 2, 3, 12829. Prime factorization of 76974 in exponential form is:
76974 = 21 × 31 × 128291
Now multiplying the highest exponent prime factors to calculate the LCM of 76969 and 76974.
LCM(76969,76974) = 191 × 40511 × 21 × 31 × 128291
LCM(76969,76974) = 5924611806
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