What is the Least Common Multiple of 88043 and 88049?
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 88043 and 88049 is 7752098107.
LCM(88043,88049) = 7752098107
Least Common Multiple of 88043 and 88049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88043 and 88049, than apply into the LCM equation.
GCF(88043,88049) = 1
LCM(88043,88049) = ( 88043 × 88049) / 1
LCM(88043,88049) = 7752098107 / 1
LCM(88043,88049) = 7752098107
Least Common Multiple (LCM) of 88043 and 88049 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88043 and 88049. First we will calculate the prime factors of 88043 and 88049.
Prime Factorization of 88043
Prime factors of 88043 are 17, 5179. Prime factorization of 88043 in exponential form is:
88043 = 171 × 51791
Prime Factorization of 88049
Prime factors of 88049 are 13, 521. Prime factorization of 88049 in exponential form is:
88049 = 132 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 88043 and 88049.
LCM(88043,88049) = 171 × 51791 × 132 × 5211
LCM(88043,88049) = 7752098107
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