What is the Least Common Multiple of 6088 and 6096?
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 6088 and 6096 is 4639056.
LCM(6088,6096) = 4639056
Least Common Multiple of 6088 and 6096 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6088 and 6096, than apply into the LCM equation.
GCF(6088,6096) = 8
LCM(6088,6096) = ( 6088 × 6096) / 8
LCM(6088,6096) = 37112448 / 8
LCM(6088,6096) = 4639056
Least Common Multiple (LCM) of 6088 and 6096 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6088 and 6096. First we will calculate the prime factors of 6088 and 6096.
Prime Factorization of 6088
Prime factors of 6088 are 2, 761. Prime factorization of 6088 in exponential form is:
6088 = 23 × 7611
Prime Factorization of 6096
Prime factors of 6096 are 2, 3, 127. Prime factorization of 6096 in exponential form is:
6096 = 24 × 31 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 6088 and 6096.
LCM(6088,6096) = 24 × 7611 × 31 × 1271
LCM(6088,6096) = 4639056
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