What is the Least Common Multiple of 58924 and 58934?
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 58924 and 58934 is 1736313508.
LCM(58924,58934) = 1736313508
Least Common Multiple of 58924 and 58934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58924 and 58934, than apply into the LCM equation.
GCF(58924,58934) = 2
LCM(58924,58934) = ( 58924 × 58934) / 2
LCM(58924,58934) = 3472627016 / 2
LCM(58924,58934) = 1736313508
Least Common Multiple (LCM) of 58924 and 58934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58924 and 58934. First we will calculate the prime factors of 58924 and 58934.
Prime Factorization of 58924
Prime factors of 58924 are 2, 14731. Prime factorization of 58924 in exponential form is:
58924 = 22 × 147311
Prime Factorization of 58934
Prime factors of 58934 are 2, 79, 373. Prime factorization of 58934 in exponential form is:
58934 = 21 × 791 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 58924 and 58934.
LCM(58924,58934) = 22 × 147311 × 791 × 3731
LCM(58924,58934) = 1736313508
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