What is the Least Common Multiple of 60886 and 60902?
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 60886 and 60902 is 1854039586.
LCM(60886,60902) = 1854039586
Least Common Multiple of 60886 and 60902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60886 and 60902, than apply into the LCM equation.
GCF(60886,60902) = 2
LCM(60886,60902) = ( 60886 × 60902) / 2
LCM(60886,60902) = 3708079172 / 2
LCM(60886,60902) = 1854039586
Least Common Multiple (LCM) of 60886 and 60902 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60886 and 60902. First we will calculate the prime factors of 60886 and 60902.
Prime Factorization of 60886
Prime factors of 60886 are 2, 7, 4349. Prime factorization of 60886 in exponential form is:
60886 = 21 × 71 × 43491
Prime Factorization of 60902
Prime factors of 60902 are 2, 37, 823. Prime factorization of 60902 in exponential form is:
60902 = 21 × 371 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 60886 and 60902.
LCM(60886,60902) = 21 × 71 × 43491 × 371 × 8231
LCM(60886,60902) = 1854039586
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