What is the Least Common Multiple of 37063 and 37068?
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 37063 and 37068 is 1373851284.
LCM(37063,37068) = 1373851284
Least Common Multiple of 37063 and 37068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37063 and 37068, than apply into the LCM equation.
GCF(37063,37068) = 1
LCM(37063,37068) = ( 37063 × 37068) / 1
LCM(37063,37068) = 1373851284 / 1
LCM(37063,37068) = 1373851284
Least Common Multiple (LCM) of 37063 and 37068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37063 and 37068. First we will calculate the prime factors of 37063 and 37068.
Prime Factorization of 37063
Prime factors of 37063 are 13, 2851. Prime factorization of 37063 in exponential form is:
37063 = 131 × 28511
Prime Factorization of 37068
Prime factors of 37068 are 2, 3, 3089. Prime factorization of 37068 in exponential form is:
37068 = 22 × 31 × 30891
Now multiplying the highest exponent prime factors to calculate the LCM of 37063 and 37068.
LCM(37063,37068) = 131 × 28511 × 22 × 31 × 30891
LCM(37063,37068) = 1373851284
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