What is the Least Common Multiple of 84118 and 84137?
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 84118 and 84137 is 7077436166.
LCM(84118,84137) = 7077436166
Least Common Multiple of 84118 and 84137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84118 and 84137, than apply into the LCM equation.
GCF(84118,84137) = 1
LCM(84118,84137) = ( 84118 × 84137) / 1
LCM(84118,84137) = 7077436166 / 1
LCM(84118,84137) = 7077436166
Least Common Multiple (LCM) of 84118 and 84137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84118 and 84137. First we will calculate the prime factors of 84118 and 84137.
Prime Factorization of 84118
Prime factors of 84118 are 2, 137, 307. Prime factorization of 84118 in exponential form is:
84118 = 21 × 1371 × 3071
Prime Factorization of 84137
Prime factors of 84137 are 84137. Prime factorization of 84137 in exponential form is:
84137 = 841371
Now multiplying the highest exponent prime factors to calculate the LCM of 84118 and 84137.
LCM(84118,84137) = 21 × 1371 × 3071 × 841371
LCM(84118,84137) = 7077436166
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