What is the Least Common Multiple of 59020 and 59037?
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 59020 and 59037 is 3484363740.
LCM(59020,59037) = 3484363740
Least Common Multiple of 59020 and 59037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59020 and 59037, than apply into the LCM equation.
GCF(59020,59037) = 1
LCM(59020,59037) = ( 59020 × 59037) / 1
LCM(59020,59037) = 3484363740 / 1
LCM(59020,59037) = 3484363740
Least Common Multiple (LCM) of 59020 and 59037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59020 and 59037. First we will calculate the prime factors of 59020 and 59037.
Prime Factorization of 59020
Prime factors of 59020 are 2, 5, 13, 227. Prime factorization of 59020 in exponential form is:
59020 = 22 × 51 × 131 × 2271
Prime Factorization of 59037
Prime factors of 59037 are 3, 11, 1789. Prime factorization of 59037 in exponential form is:
59037 = 31 × 111 × 17891
Now multiplying the highest exponent prime factors to calculate the LCM of 59020 and 59037.
LCM(59020,59037) = 22 × 51 × 131 × 2271 × 31 × 111 × 17891
LCM(59020,59037) = 3484363740
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