What is the Least Common Multiple of 34013 and 34023?
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 34013 and 34023 is 1157224299.
LCM(34013,34023) = 1157224299
Least Common Multiple of 34013 and 34023 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34013 and 34023, than apply into the LCM equation.
GCF(34013,34023) = 1
LCM(34013,34023) = ( 34013 × 34023) / 1
LCM(34013,34023) = 1157224299 / 1
LCM(34013,34023) = 1157224299
Least Common Multiple (LCM) of 34013 and 34023 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34013 and 34023. First we will calculate the prime factors of 34013 and 34023.
Prime Factorization of 34013
Prime factors of 34013 are 7, 43, 113. Prime factorization of 34013 in exponential form is:
34013 = 71 × 431 × 1131
Prime Factorization of 34023
Prime factors of 34023 are 3, 11, 1031. Prime factorization of 34023 in exponential form is:
34023 = 31 × 111 × 10311
Now multiplying the highest exponent prime factors to calculate the LCM of 34013 and 34023.
LCM(34013,34023) = 71 × 431 × 1131 × 31 × 111 × 10311
LCM(34013,34023) = 1157224299
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