What is the Least Common Multiple of 37576 and 37593?
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 37576 and 37593 is 1412594568.
LCM(37576,37593) = 1412594568
Least Common Multiple of 37576 and 37593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37576 and 37593, than apply into the LCM equation.
GCF(37576,37593) = 1
LCM(37576,37593) = ( 37576 × 37593) / 1
LCM(37576,37593) = 1412594568 / 1
LCM(37576,37593) = 1412594568
Least Common Multiple (LCM) of 37576 and 37593 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37576 and 37593. First we will calculate the prime factors of 37576 and 37593.
Prime Factorization of 37576
Prime factors of 37576 are 2, 7, 11, 61. Prime factorization of 37576 in exponential form is:
37576 = 23 × 71 × 111 × 611
Prime Factorization of 37593
Prime factors of 37593 are 3, 4177. Prime factorization of 37593 in exponential form is:
37593 = 32 × 41771
Now multiplying the highest exponent prime factors to calculate the LCM of 37576 and 37593.
LCM(37576,37593) = 23 × 71 × 111 × 611 × 32 × 41771
LCM(37576,37593) = 1412594568
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