What is the Least Common Multiple of 84034 and 84053?
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 84034 and 84053 is 7063309802.
LCM(84034,84053) = 7063309802
Least Common Multiple of 84034 and 84053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84034 and 84053, than apply into the LCM equation.
GCF(84034,84053) = 1
LCM(84034,84053) = ( 84034 × 84053) / 1
LCM(84034,84053) = 7063309802 / 1
LCM(84034,84053) = 7063309802
Least Common Multiple (LCM) of 84034 and 84053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84034 and 84053. First we will calculate the prime factors of 84034 and 84053.
Prime Factorization of 84034
Prime factors of 84034 are 2, 42017. Prime factorization of 84034 in exponential form is:
84034 = 21 × 420171
Prime Factorization of 84053
Prime factors of 84053 are 84053. Prime factorization of 84053 in exponential form is:
84053 = 840531
Now multiplying the highest exponent prime factors to calculate the LCM of 84034 and 84053.
LCM(84034,84053) = 21 × 420171 × 840531
LCM(84034,84053) = 7063309802
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