What is the Least Common Multiple of 37483 and 37497?
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 37483 and 37497 is 1405500051.
LCM(37483,37497) = 1405500051
Least Common Multiple of 37483 and 37497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37483 and 37497, than apply into the LCM equation.
GCF(37483,37497) = 1
LCM(37483,37497) = ( 37483 × 37497) / 1
LCM(37483,37497) = 1405500051 / 1
LCM(37483,37497) = 1405500051
Least Common Multiple (LCM) of 37483 and 37497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37483 and 37497. First we will calculate the prime factors of 37483 and 37497.
Prime Factorization of 37483
Prime factors of 37483 are 37483. Prime factorization of 37483 in exponential form is:
37483 = 374831
Prime Factorization of 37497
Prime factors of 37497 are 3, 29, 431. Prime factorization of 37497 in exponential form is:
37497 = 31 × 291 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 37483 and 37497.
LCM(37483,37497) = 374831 × 31 × 291 × 4311
LCM(37483,37497) = 1405500051
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