What is the Least Common Multiple of 37943 and 37960?
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 37943 and 37960 is 1440316280.
LCM(37943,37960) = 1440316280
Least Common Multiple of 37943 and 37960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37943 and 37960, than apply into the LCM equation.
GCF(37943,37960) = 1
LCM(37943,37960) = ( 37943 × 37960) / 1
LCM(37943,37960) = 1440316280 / 1
LCM(37943,37960) = 1440316280
Least Common Multiple (LCM) of 37943 and 37960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37943 and 37960. First we will calculate the prime factors of 37943 and 37960.
Prime Factorization of 37943
Prime factors of 37943 are 19, 1997. Prime factorization of 37943 in exponential form is:
37943 = 191 × 19971
Prime Factorization of 37960
Prime factors of 37960 are 2, 5, 13, 73. Prime factorization of 37960 in exponential form is:
37960 = 23 × 51 × 131 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 37943 and 37960.
LCM(37943,37960) = 191 × 19971 × 23 × 51 × 131 × 731
LCM(37943,37960) = 1440316280
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