What is the Least Common Multiple of 67517 and 67528?
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 67517 and 67528 is 4559287976.
LCM(67517,67528) = 4559287976
Least Common Multiple of 67517 and 67528 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67517 and 67528, than apply into the LCM equation.
GCF(67517,67528) = 1
LCM(67517,67528) = ( 67517 × 67528) / 1
LCM(67517,67528) = 4559287976 / 1
LCM(67517,67528) = 4559287976
Least Common Multiple (LCM) of 67517 and 67528 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67517 and 67528. First we will calculate the prime factors of 67517 and 67528.
Prime Factorization of 67517
Prime factors of 67517 are 107, 631. Prime factorization of 67517 in exponential form is:
67517 = 1071 × 6311
Prime Factorization of 67528
Prime factors of 67528 are 2, 23, 367. Prime factorization of 67528 in exponential form is:
67528 = 23 × 231 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 67517 and 67528.
LCM(67517,67528) = 1071 × 6311 × 23 × 231 × 3671
LCM(67517,67528) = 4559287976
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