What is the Least Common Multiple of 67112 and 67128?
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 67112 and 67128 is 563136792.
LCM(67112,67128) = 563136792
Least Common Multiple of 67112 and 67128 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67112 and 67128, than apply into the LCM equation.
GCF(67112,67128) = 8
LCM(67112,67128) = ( 67112 × 67128) / 8
LCM(67112,67128) = 4505094336 / 8
LCM(67112,67128) = 563136792
Least Common Multiple (LCM) of 67112 and 67128 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67112 and 67128. First we will calculate the prime factors of 67112 and 67128.
Prime Factorization of 67112
Prime factors of 67112 are 2, 8389. Prime factorization of 67112 in exponential form is:
67112 = 23 × 83891
Prime Factorization of 67128
Prime factors of 67128 are 2, 3, 2797. Prime factorization of 67128 in exponential form is:
67128 = 23 × 31 × 27971
Now multiplying the highest exponent prime factors to calculate the LCM of 67112 and 67128.
LCM(67112,67128) = 23 × 83891 × 31 × 27971
LCM(67112,67128) = 563136792
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