What is the Least Common Multiple of 55150 and 55159?
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 55150 and 55159 is 3042018850.
LCM(55150,55159) = 3042018850
Least Common Multiple of 55150 and 55159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55150 and 55159, than apply into the LCM equation.
GCF(55150,55159) = 1
LCM(55150,55159) = ( 55150 × 55159) / 1
LCM(55150,55159) = 3042018850 / 1
LCM(55150,55159) = 3042018850
Least Common Multiple (LCM) of 55150 and 55159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55150 and 55159. First we will calculate the prime factors of 55150 and 55159.
Prime Factorization of 55150
Prime factors of 55150 are 2, 5, 1103. Prime factorization of 55150 in exponential form is:
55150 = 21 × 52 × 11031
Prime Factorization of 55159
Prime factors of 55159 are 13, 4243. Prime factorization of 55159 in exponential form is:
55159 = 131 × 42431
Now multiplying the highest exponent prime factors to calculate the LCM of 55150 and 55159.
LCM(55150,55159) = 21 × 52 × 11031 × 131 × 42431
LCM(55150,55159) = 3042018850
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