What is the Least Common Multiple of 84118 and 84127?
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 84127 is 7076594986.
LCM(84118,84127) = 7076594986
Least Common Multiple of 84118 and 84127 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 84127, than apply into the LCM equation.
GCF(84118,84127) = 1
LCM(84118,84127) = ( 84118 × 84127) / 1
LCM(84118,84127) = 7076594986 / 1
LCM(84118,84127) = 7076594986
Least Common Multiple (LCM) of 84118 and 84127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84118 and 84127. First we will calculate the prime factors of 84118 and 84127.
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 84127
Prime factors of 84127 are 84127. Prime factorization of 84127 in exponential form is:
84127 = 841271
Now multiplying the highest exponent prime factors to calculate the LCM of 84118 and 84127.
LCM(84118,84127) = 21 × 1371 × 3071 × 841271
LCM(84118,84127) = 7076594986
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