What is the Least Common Multiple of 83551 and 83555?
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 83551 and 83555 is 6981103805.
LCM(83551,83555) = 6981103805
Least Common Multiple of 83551 and 83555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83551 and 83555, than apply into the LCM equation.
GCF(83551,83555) = 1
LCM(83551,83555) = ( 83551 × 83555) / 1
LCM(83551,83555) = 6981103805 / 1
LCM(83551,83555) = 6981103805
Least Common Multiple (LCM) of 83551 and 83555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83551 and 83555. First we will calculate the prime factors of 83551 and 83555.
Prime Factorization of 83551
Prime factors of 83551 are 13, 6427. Prime factorization of 83551 in exponential form is:
83551 = 131 × 64271
Prime Factorization of 83555
Prime factors of 83555 are 5, 17, 983. Prime factorization of 83555 in exponential form is:
83555 = 51 × 171 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 83551 and 83555.
LCM(83551,83555) = 131 × 64271 × 51 × 171 × 9831
LCM(83551,83555) = 6981103805
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