What is the Least Common Multiple of 37030 and 37047?
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 37030 and 37047 is 1371850410.
LCM(37030,37047) = 1371850410
Least Common Multiple of 37030 and 37047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37030 and 37047, than apply into the LCM equation.
GCF(37030,37047) = 1
LCM(37030,37047) = ( 37030 × 37047) / 1
LCM(37030,37047) = 1371850410 / 1
LCM(37030,37047) = 1371850410
Least Common Multiple (LCM) of 37030 and 37047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37030 and 37047. First we will calculate the prime factors of 37030 and 37047.
Prime Factorization of 37030
Prime factors of 37030 are 2, 5, 7, 23. Prime factorization of 37030 in exponential form is:
37030 = 21 × 51 × 71 × 232
Prime Factorization of 37047
Prime factors of 37047 are 3, 53, 233. Prime factorization of 37047 in exponential form is:
37047 = 31 × 531 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 37030 and 37047.
LCM(37030,37047) = 21 × 51 × 71 × 232 × 31 × 531 × 2331
LCM(37030,37047) = 1371850410
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