What is the Least Common Multiple of 67637 and 67644?
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 67644 is 4575237228.
LCM(67637,67644) = 4575237228
Least Common Multiple of 67637 and 67644 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 67644, than apply into the LCM equation.
GCF(67637,67644) = 1
LCM(67637,67644) = ( 67637 × 67644) / 1
LCM(67637,67644) = 4575237228 / 1
LCM(67637,67644) = 4575237228
Least Common Multiple (LCM) of 67637 and 67644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67637 and 67644. First we will calculate the prime factors of 67637 and 67644.
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 67644
Prime factors of 67644 are 2, 3, 1879. Prime factorization of 67644 in exponential form is:
67644 = 22 × 32 × 18791
Now multiplying the highest exponent prime factors to calculate the LCM of 67637 and 67644.
LCM(67637,67644) = 2391 × 2831 × 22 × 32 × 18791
LCM(67637,67644) = 4575237228
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