What is the Least Common Multiple of 94019 and 94026?
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 94019 and 94026 is 8840230494.
LCM(94019,94026) = 8840230494
Least Common Multiple of 94019 and 94026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94019 and 94026, than apply into the LCM equation.
GCF(94019,94026) = 1
LCM(94019,94026) = ( 94019 × 94026) / 1
LCM(94019,94026) = 8840230494 / 1
LCM(94019,94026) = 8840230494
Least Common Multiple (LCM) of 94019 and 94026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94019 and 94026. First we will calculate the prime factors of 94019 and 94026.
Prime Factorization of 94019
Prime factors of 94019 are 149, 631. Prime factorization of 94019 in exponential form is:
94019 = 1491 × 6311
Prime Factorization of 94026
Prime factors of 94026 are 2, 3, 15671. Prime factorization of 94026 in exponential form is:
94026 = 21 × 31 × 156711
Now multiplying the highest exponent prime factors to calculate the LCM of 94019 and 94026.
LCM(94019,94026) = 1491 × 6311 × 21 × 31 × 156711
LCM(94019,94026) = 8840230494
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