What is the Least Common Multiple of 79137 and 79154?
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 79137 and 79154 is 6264010098.
LCM(79137,79154) = 6264010098
Least Common Multiple of 79137 and 79154 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79137 and 79154, than apply into the LCM equation.
GCF(79137,79154) = 1
LCM(79137,79154) = ( 79137 × 79154) / 1
LCM(79137,79154) = 6264010098 / 1
LCM(79137,79154) = 6264010098
Least Common Multiple (LCM) of 79137 and 79154 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79137 and 79154. First we will calculate the prime factors of 79137 and 79154.
Prime Factorization of 79137
Prime factors of 79137 are 3, 977. Prime factorization of 79137 in exponential form is:
79137 = 34 × 9771
Prime Factorization of 79154
Prime factors of 79154 are 2, 19, 2083. Prime factorization of 79154 in exponential form is:
79154 = 21 × 191 × 20831
Now multiplying the highest exponent prime factors to calculate the LCM of 79137 and 79154.
LCM(79137,79154) = 34 × 9771 × 21 × 191 × 20831
LCM(79137,79154) = 6264010098
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