What is the Least Common Multiple of 37930 and 37936?
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 37930 and 37936 is 719456240.
LCM(37930,37936) = 719456240
Least Common Multiple of 37930 and 37936 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37930 and 37936, than apply into the LCM equation.
GCF(37930,37936) = 2
LCM(37930,37936) = ( 37930 × 37936) / 2
LCM(37930,37936) = 1438912480 / 2
LCM(37930,37936) = 719456240
Least Common Multiple (LCM) of 37930 and 37936 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37930 and 37936. First we will calculate the prime factors of 37930 and 37936.
Prime Factorization of 37930
Prime factors of 37930 are 2, 5, 3793. Prime factorization of 37930 in exponential form is:
37930 = 21 × 51 × 37931
Prime Factorization of 37936
Prime factors of 37936 are 2, 2371. Prime factorization of 37936 in exponential form is:
37936 = 24 × 23711
Now multiplying the highest exponent prime factors to calculate the LCM of 37930 and 37936.
LCM(37930,37936) = 24 × 51 × 37931 × 23711
LCM(37930,37936) = 719456240
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