What is the Least Common Multiple of 59927 and 59931?
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 59927 and 59931 is 3591485037.
LCM(59927,59931) = 3591485037
Least Common Multiple of 59927 and 59931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59927 and 59931, than apply into the LCM equation.
GCF(59927,59931) = 1
LCM(59927,59931) = ( 59927 × 59931) / 1
LCM(59927,59931) = 3591485037 / 1
LCM(59927,59931) = 3591485037
Least Common Multiple (LCM) of 59927 and 59931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59927 and 59931. First we will calculate the prime factors of 59927 and 59931.
Prime Factorization of 59927
Prime factors of 59927 are 7, 1223. Prime factorization of 59927 in exponential form is:
59927 = 72 × 12231
Prime Factorization of 59931
Prime factors of 59931 are 3, 6659. Prime factorization of 59931 in exponential form is:
59931 = 32 × 66591
Now multiplying the highest exponent prime factors to calculate the LCM of 59927 and 59931.
LCM(59927,59931) = 72 × 12231 × 32 × 66591
LCM(59927,59931) = 3591485037
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