What is the Least Common Multiple of 37965 and 37985?
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 37965 and 37985 is 288420105.
LCM(37965,37985) = 288420105
Least Common Multiple of 37965 and 37985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37965 and 37985, than apply into the LCM equation.
GCF(37965,37985) = 5
LCM(37965,37985) = ( 37965 × 37985) / 5
LCM(37965,37985) = 1442100525 / 5
LCM(37965,37985) = 288420105
Least Common Multiple (LCM) of 37965 and 37985 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37965 and 37985. First we will calculate the prime factors of 37965 and 37985.
Prime Factorization of 37965
Prime factors of 37965 are 3, 5, 2531. Prime factorization of 37965 in exponential form is:
37965 = 31 × 51 × 25311
Prime Factorization of 37985
Prime factors of 37985 are 5, 71, 107. Prime factorization of 37985 in exponential form is:
37985 = 51 × 711 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 37965 and 37985.
LCM(37965,37985) = 31 × 51 × 25311 × 711 × 1071
LCM(37965,37985) = 288420105
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