What is the Least Common Multiple of 77837 and 77855?
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 77837 and 77855 is 6059999635.
LCM(77837,77855) = 6059999635
Least Common Multiple of 77837 and 77855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77837 and 77855, than apply into the LCM equation.
GCF(77837,77855) = 1
LCM(77837,77855) = ( 77837 × 77855) / 1
LCM(77837,77855) = 6059999635 / 1
LCM(77837,77855) = 6059999635
Least Common Multiple (LCM) of 77837 and 77855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77837 and 77855. First we will calculate the prime factors of 77837 and 77855.
Prime Factorization of 77837
Prime factors of 77837 are 277, 281. Prime factorization of 77837 in exponential form is:
77837 = 2771 × 2811
Prime Factorization of 77855
Prime factors of 77855 are 5, 23, 677. Prime factorization of 77855 in exponential form is:
77855 = 51 × 231 × 6771
Now multiplying the highest exponent prime factors to calculate the LCM of 77837 and 77855.
LCM(77837,77855) = 2771 × 2811 × 51 × 231 × 6771
LCM(77837,77855) = 6059999635
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