What is the Least Common Multiple of 84131 and 84149?
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 84131 and 84149 is 7079539519.
LCM(84131,84149) = 7079539519
Least Common Multiple of 84131 and 84149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84131 and 84149, than apply into the LCM equation.
GCF(84131,84149) = 1
LCM(84131,84149) = ( 84131 × 84149) / 1
LCM(84131,84149) = 7079539519 / 1
LCM(84131,84149) = 7079539519
Least Common Multiple (LCM) of 84131 and 84149 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84131 and 84149. First we will calculate the prime factors of 84131 and 84149.
Prime Factorization of 84131
Prime factors of 84131 are 84131. Prime factorization of 84131 in exponential form is:
84131 = 841311
Prime Factorization of 84149
Prime factors of 84149 are 13, 6473. Prime factorization of 84149 in exponential form is:
84149 = 131 × 64731
Now multiplying the highest exponent prime factors to calculate the LCM of 84131 and 84149.
LCM(84131,84149) = 841311 × 131 × 64731
LCM(84131,84149) = 7079539519
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