What is the Least Common Multiple of 6026 and 6040?
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 6026 and 6040 is 18198520.
LCM(6026,6040) = 18198520
Least Common Multiple of 6026 and 6040 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6026 and 6040, than apply into the LCM equation.
GCF(6026,6040) = 2
LCM(6026,6040) = ( 6026 × 6040) / 2
LCM(6026,6040) = 36397040 / 2
LCM(6026,6040) = 18198520
Least Common Multiple (LCM) of 6026 and 6040 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6026 and 6040. First we will calculate the prime factors of 6026 and 6040.
Prime Factorization of 6026
Prime factors of 6026 are 2, 23, 131. Prime factorization of 6026 in exponential form is:
6026 = 21 × 231 × 1311
Prime Factorization of 6040
Prime factors of 6040 are 2, 5, 151. Prime factorization of 6040 in exponential form is:
6040 = 23 × 51 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 6026 and 6040.
LCM(6026,6040) = 23 × 231 × 1311 × 51 × 1511
LCM(6026,6040) = 18198520
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