What is the Least Common Multiple of 67637 and 67657?
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 67637 and 67657 is 4576116509.
LCM(67637,67657) = 4576116509
Least Common Multiple of 67637 and 67657 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67637 and 67657, than apply into the LCM equation.
GCF(67637,67657) = 1
LCM(67637,67657) = ( 67637 × 67657) / 1
LCM(67637,67657) = 4576116509 / 1
LCM(67637,67657) = 4576116509
Least Common Multiple (LCM) of 67637 and 67657 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67637 and 67657. First we will calculate the prime factors of 67637 and 67657.
Prime Factorization of 67637
Prime factors of 67637 are 239, 283. Prime factorization of 67637 in exponential form is:
67637 = 2391 × 2831
Prime Factorization of 67657
Prime factors of 67657 are 29, 2333. Prime factorization of 67657 in exponential form is:
67657 = 291 × 23331
Now multiplying the highest exponent prime factors to calculate the LCM of 67637 and 67657.
LCM(67637,67657) = 2391 × 2831 × 291 × 23331
LCM(67637,67657) = 4576116509
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