What is the Least Common Multiple of 8042 and 8059?
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 8042 and 8059 is 64810478.
LCM(8042,8059) = 64810478
Least Common Multiple of 8042 and 8059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8042 and 8059, than apply into the LCM equation.
GCF(8042,8059) = 1
LCM(8042,8059) = ( 8042 × 8059) / 1
LCM(8042,8059) = 64810478 / 1
LCM(8042,8059) = 64810478
Least Common Multiple (LCM) of 8042 and 8059 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8042 and 8059. First we will calculate the prime factors of 8042 and 8059.
Prime Factorization of 8042
Prime factors of 8042 are 2, 4021. Prime factorization of 8042 in exponential form is:
8042 = 21 × 40211
Prime Factorization of 8059
Prime factors of 8059 are 8059. Prime factorization of 8059 in exponential form is:
8059 = 80591
Now multiplying the highest exponent prime factors to calculate the LCM of 8042 and 8059.
LCM(8042,8059) = 21 × 40211 × 80591
LCM(8042,8059) = 64810478
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