What is the Least Common Multiple of 86421 and 86441?
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 86421 and 86441 is 7470317661.
LCM(86421,86441) = 7470317661
Least Common Multiple of 86421 and 86441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86421 and 86441, than apply into the LCM equation.
GCF(86421,86441) = 1
LCM(86421,86441) = ( 86421 × 86441) / 1
LCM(86421,86441) = 7470317661 / 1
LCM(86421,86441) = 7470317661
Least Common Multiple (LCM) of 86421 and 86441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86421 and 86441. First we will calculate the prime factors of 86421 and 86441.
Prime Factorization of 86421
Prime factors of 86421 are 3, 28807. Prime factorization of 86421 in exponential form is:
86421 = 31 × 288071
Prime Factorization of 86441
Prime factors of 86441 are 86441. Prime factorization of 86441 in exponential form is:
86441 = 864411
Now multiplying the highest exponent prime factors to calculate the LCM of 86421 and 86441.
LCM(86421,86441) = 31 × 288071 × 864411
LCM(86421,86441) = 7470317661
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