What is the Least Common Multiple of 62047 and 62058?
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 62047 and 62058 is 3850512726.
LCM(62047,62058) = 3850512726
Least Common Multiple of 62047 and 62058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62047 and 62058, than apply into the LCM equation.
GCF(62047,62058) = 1
LCM(62047,62058) = ( 62047 × 62058) / 1
LCM(62047,62058) = 3850512726 / 1
LCM(62047,62058) = 3850512726
Least Common Multiple (LCM) of 62047 and 62058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62047 and 62058. First we will calculate the prime factors of 62047 and 62058.
Prime Factorization of 62047
Prime factors of 62047 are 62047. Prime factorization of 62047 in exponential form is:
62047 = 620471
Prime Factorization of 62058
Prime factors of 62058 are 2, 3, 10343. Prime factorization of 62058 in exponential form is:
62058 = 21 × 31 × 103431
Now multiplying the highest exponent prime factors to calculate the LCM of 62047 and 62058.
LCM(62047,62058) = 620471 × 21 × 31 × 103431
LCM(62047,62058) = 3850512726
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