What is the Least Common Multiple of 37353 and 37371?
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 37353 and 37371 is 465306321.
LCM(37353,37371) = 465306321
Least Common Multiple of 37353 and 37371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37353 and 37371, than apply into the LCM equation.
GCF(37353,37371) = 3
LCM(37353,37371) = ( 37353 × 37371) / 3
LCM(37353,37371) = 1395918963 / 3
LCM(37353,37371) = 465306321
Least Common Multiple (LCM) of 37353 and 37371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37353 and 37371. First we will calculate the prime factors of 37353 and 37371.
Prime Factorization of 37353
Prime factors of 37353 are 3, 12451. Prime factorization of 37353 in exponential form is:
37353 = 31 × 124511
Prime Factorization of 37371
Prime factors of 37371 are 3, 12457. Prime factorization of 37371 in exponential form is:
37371 = 31 × 124571
Now multiplying the highest exponent prime factors to calculate the LCM of 37353 and 37371.
LCM(37353,37371) = 31 × 124511 × 124571
LCM(37353,37371) = 465306321
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