What is the Least Common Multiple of 37391 and 37402?
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 37391 and 37402 is 1398498182.
LCM(37391,37402) = 1398498182
Least Common Multiple of 37391 and 37402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37391 and 37402, than apply into the LCM equation.
GCF(37391,37402) = 1
LCM(37391,37402) = ( 37391 × 37402) / 1
LCM(37391,37402) = 1398498182 / 1
LCM(37391,37402) = 1398498182
Least Common Multiple (LCM) of 37391 and 37402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37391 and 37402. First we will calculate the prime factors of 37391 and 37402.
Prime Factorization of 37391
Prime factors of 37391 are 139, 269. Prime factorization of 37391 in exponential form is:
37391 = 1391 × 2691
Prime Factorization of 37402
Prime factors of 37402 are 2, 18701. Prime factorization of 37402 in exponential form is:
37402 = 21 × 187011
Now multiplying the highest exponent prime factors to calculate the LCM of 37391 and 37402.
LCM(37391,37402) = 1391 × 2691 × 21 × 187011
LCM(37391,37402) = 1398498182
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