What is the Least Common Multiple of 8122 and 8135?
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 8122 and 8135 is 66072470.
LCM(8122,8135) = 66072470
Least Common Multiple of 8122 and 8135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8122 and 8135, than apply into the LCM equation.
GCF(8122,8135) = 1
LCM(8122,8135) = ( 8122 × 8135) / 1
LCM(8122,8135) = 66072470 / 1
LCM(8122,8135) = 66072470
Least Common Multiple (LCM) of 8122 and 8135 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8122 and 8135. First we will calculate the prime factors of 8122 and 8135.
Prime Factorization of 8122
Prime factors of 8122 are 2, 31, 131. Prime factorization of 8122 in exponential form is:
8122 = 21 × 311 × 1311
Prime Factorization of 8135
Prime factors of 8135 are 5, 1627. Prime factorization of 8135 in exponential form is:
8135 = 51 × 16271
Now multiplying the highest exponent prime factors to calculate the LCM of 8122 and 8135.
LCM(8122,8135) = 21 × 311 × 1311 × 51 × 16271
LCM(8122,8135) = 66072470
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