What is the Least Common Multiple of 60818 and 60827?
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 60818 and 60827 is 3699376486.
LCM(60818,60827) = 3699376486
Least Common Multiple of 60818 and 60827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60818 and 60827, than apply into the LCM equation.
GCF(60818,60827) = 1
LCM(60818,60827) = ( 60818 × 60827) / 1
LCM(60818,60827) = 3699376486 / 1
LCM(60818,60827) = 3699376486
Least Common Multiple (LCM) of 60818 and 60827 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60818 and 60827. First we will calculate the prime factors of 60818 and 60827.
Prime Factorization of 60818
Prime factors of 60818 are 2, 47, 647. Prime factorization of 60818 in exponential form is:
60818 = 21 × 471 × 6471
Prime Factorization of 60827
Prime factors of 60827 are 13, 4679. Prime factorization of 60827 in exponential form is:
60827 = 131 × 46791
Now multiplying the highest exponent prime factors to calculate the LCM of 60818 and 60827.
LCM(60818,60827) = 21 × 471 × 6471 × 131 × 46791
LCM(60818,60827) = 3699376486
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