What is the Least Common Multiple of 6068 and 6088?
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 6068 and 6088 is 9235496.
LCM(6068,6088) = 9235496
Least Common Multiple of 6068 and 6088 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6068 and 6088, than apply into the LCM equation.
GCF(6068,6088) = 4
LCM(6068,6088) = ( 6068 × 6088) / 4
LCM(6068,6088) = 36941984 / 4
LCM(6068,6088) = 9235496
Least Common Multiple (LCM) of 6068 and 6088 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6068 and 6088. First we will calculate the prime factors of 6068 and 6088.
Prime Factorization of 6068
Prime factors of 6068 are 2, 37, 41. Prime factorization of 6068 in exponential form is:
6068 = 22 × 371 × 411
Prime Factorization of 6088
Prime factors of 6088 are 2, 761. Prime factorization of 6088 in exponential form is:
6088 = 23 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 6068 and 6088.
LCM(6068,6088) = 23 × 371 × 411 × 7611
LCM(6068,6088) = 9235496
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