What is the Least Common Multiple of 62650 and 62663?
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 62650 and 62663 is 3925836950.
LCM(62650,62663) = 3925836950
Least Common Multiple of 62650 and 62663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62650 and 62663, than apply into the LCM equation.
GCF(62650,62663) = 1
LCM(62650,62663) = ( 62650 × 62663) / 1
LCM(62650,62663) = 3925836950 / 1
LCM(62650,62663) = 3925836950
Least Common Multiple (LCM) of 62650 and 62663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62650 and 62663. First we will calculate the prime factors of 62650 and 62663.
Prime Factorization of 62650
Prime factors of 62650 are 2, 5, 7, 179. Prime factorization of 62650 in exponential form is:
62650 = 21 × 52 × 71 × 1791
Prime Factorization of 62663
Prime factors of 62663 are 223, 281. Prime factorization of 62663 in exponential form is:
62663 = 2231 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 62650 and 62663.
LCM(62650,62663) = 21 × 52 × 71 × 1791 × 2231 × 2811
LCM(62650,62663) = 3925836950
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