What is the Least Common Multiple of 59058 and 59062?
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 59058 and 59062 is 1744041798.
LCM(59058,59062) = 1744041798
Least Common Multiple of 59058 and 59062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59058 and 59062, than apply into the LCM equation.
GCF(59058,59062) = 2
LCM(59058,59062) = ( 59058 × 59062) / 2
LCM(59058,59062) = 3488083596 / 2
LCM(59058,59062) = 1744041798
Least Common Multiple (LCM) of 59058 and 59062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59058 and 59062. First we will calculate the prime factors of 59058 and 59062.
Prime Factorization of 59058
Prime factors of 59058 are 2, 3, 17, 193. Prime factorization of 59058 in exponential form is:
59058 = 21 × 32 × 171 × 1931
Prime Factorization of 59062
Prime factors of 59062 are 2, 29531. Prime factorization of 59062 in exponential form is:
59062 = 21 × 295311
Now multiplying the highest exponent prime factors to calculate the LCM of 59058 and 59062.
LCM(59058,59062) = 21 × 32 × 171 × 1931 × 295311
LCM(59058,59062) = 1744041798
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