What is the Least Common Multiple of 84520 and 84527?
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 84520 and 84527 is 7144222040.
LCM(84520,84527) = 7144222040
Least Common Multiple of 84520 and 84527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84520 and 84527, than apply into the LCM equation.
GCF(84520,84527) = 1
LCM(84520,84527) = ( 84520 × 84527) / 1
LCM(84520,84527) = 7144222040 / 1
LCM(84520,84527) = 7144222040
Least Common Multiple (LCM) of 84520 and 84527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84520 and 84527. First we will calculate the prime factors of 84520 and 84527.
Prime Factorization of 84520
Prime factors of 84520 are 2, 5, 2113. Prime factorization of 84520 in exponential form is:
84520 = 23 × 51 × 21131
Prime Factorization of 84527
Prime factors of 84527 are 181, 467. Prime factorization of 84527 in exponential form is:
84527 = 1811 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 84520 and 84527.
LCM(84520,84527) = 23 × 51 × 21131 × 1811 × 4671
LCM(84520,84527) = 7144222040
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