What is the Least Common Multiple of 88023 and 88030?
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 88023 and 88030 is 7748664690.
LCM(88023,88030) = 7748664690
Least Common Multiple of 88023 and 88030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88023 and 88030, than apply into the LCM equation.
GCF(88023,88030) = 1
LCM(88023,88030) = ( 88023 × 88030) / 1
LCM(88023,88030) = 7748664690 / 1
LCM(88023,88030) = 7748664690
Least Common Multiple (LCM) of 88023 and 88030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88023 and 88030. First we will calculate the prime factors of 88023 and 88030.
Prime Factorization of 88023
Prime factors of 88023 are 3, 13, 37, 61. Prime factorization of 88023 in exponential form is:
88023 = 31 × 131 × 371 × 611
Prime Factorization of 88030
Prime factors of 88030 are 2, 5, 8803. Prime factorization of 88030 in exponential form is:
88030 = 21 × 51 × 88031
Now multiplying the highest exponent prime factors to calculate the LCM of 88023 and 88030.
LCM(88023,88030) = 31 × 131 × 371 × 611 × 21 × 51 × 88031
LCM(88023,88030) = 7748664690
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