What is the Least Common Multiple of 99052 and 99063?
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 99052 and 99063 is 9812388276.
LCM(99052,99063) = 9812388276
Least Common Multiple of 99052 and 99063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99052 and 99063, than apply into the LCM equation.
GCF(99052,99063) = 1
LCM(99052,99063) = ( 99052 × 99063) / 1
LCM(99052,99063) = 9812388276 / 1
LCM(99052,99063) = 9812388276
Least Common Multiple (LCM) of 99052 and 99063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99052 and 99063. First we will calculate the prime factors of 99052 and 99063.
Prime Factorization of 99052
Prime factors of 99052 are 2, 24763. Prime factorization of 99052 in exponential form is:
99052 = 22 × 247631
Prime Factorization of 99063
Prime factors of 99063 are 3, 1223. Prime factorization of 99063 in exponential form is:
99063 = 34 × 12231
Now multiplying the highest exponent prime factors to calculate the LCM of 99052 and 99063.
LCM(99052,99063) = 22 × 247631 × 34 × 12231
LCM(99052,99063) = 9812388276
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