What is the Least Common Multiple of 77069 and 77073?
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 77069 and 77073 is 5939939037.
LCM(77069,77073) = 5939939037
Least Common Multiple of 77069 and 77073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77069 and 77073, than apply into the LCM equation.
GCF(77069,77073) = 1
LCM(77069,77073) = ( 77069 × 77073) / 1
LCM(77069,77073) = 5939939037 / 1
LCM(77069,77073) = 5939939037
Least Common Multiple (LCM) of 77069 and 77073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77069 and 77073. First we will calculate the prime factors of 77069 and 77073.
Prime Factorization of 77069
Prime factors of 77069 are 77069. Prime factorization of 77069 in exponential form is:
77069 = 770691
Prime Factorization of 77073
Prime factors of 77073 are 3, 23, 1117. Prime factorization of 77073 in exponential form is:
77073 = 31 × 231 × 11171
Now multiplying the highest exponent prime factors to calculate the LCM of 77069 and 77073.
LCM(77069,77073) = 770691 × 31 × 231 × 11171
LCM(77069,77073) = 5939939037
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