What is the Least Common Multiple of 80051 and 80060?
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 80051 and 80060 is 6408883060.
LCM(80051,80060) = 6408883060
Least Common Multiple of 80051 and 80060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80051 and 80060, than apply into the LCM equation.
GCF(80051,80060) = 1
LCM(80051,80060) = ( 80051 × 80060) / 1
LCM(80051,80060) = 6408883060 / 1
LCM(80051,80060) = 6408883060
Least Common Multiple (LCM) of 80051 and 80060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80051 and 80060. First we will calculate the prime factors of 80051 and 80060.
Prime Factorization of 80051
Prime factors of 80051 are 80051. Prime factorization of 80051 in exponential form is:
80051 = 800511
Prime Factorization of 80060
Prime factors of 80060 are 2, 5, 4003. Prime factorization of 80060 in exponential form is:
80060 = 22 × 51 × 40031
Now multiplying the highest exponent prime factors to calculate the LCM of 80051 and 80060.
LCM(80051,80060) = 800511 × 22 × 51 × 40031
LCM(80051,80060) = 6408883060
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