What is the Least Common Multiple of 67128 and 67139?
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 67128 and 67139 is 4506906792.
LCM(67128,67139) = 4506906792
Least Common Multiple of 67128 and 67139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67128 and 67139, than apply into the LCM equation.
GCF(67128,67139) = 1
LCM(67128,67139) = ( 67128 × 67139) / 1
LCM(67128,67139) = 4506906792 / 1
LCM(67128,67139) = 4506906792
Least Common Multiple (LCM) of 67128 and 67139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67128 and 67139. First we will calculate the prime factors of 67128 and 67139.
Prime Factorization of 67128
Prime factors of 67128 are 2, 3, 2797. Prime factorization of 67128 in exponential form is:
67128 = 23 × 31 × 27971
Prime Factorization of 67139
Prime factors of 67139 are 67139. Prime factorization of 67139 in exponential form is:
67139 = 671391
Now multiplying the highest exponent prime factors to calculate the LCM of 67128 and 67139.
LCM(67128,67139) = 23 × 31 × 27971 × 671391
LCM(67128,67139) = 4506906792
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