What is the Least Common Multiple of 59035 and 59041?
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 59035 and 59041 is 3485485435.
LCM(59035,59041) = 3485485435
Least Common Multiple of 59035 and 59041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59035 and 59041, than apply into the LCM equation.
GCF(59035,59041) = 1
LCM(59035,59041) = ( 59035 × 59041) / 1
LCM(59035,59041) = 3485485435 / 1
LCM(59035,59041) = 3485485435
Least Common Multiple (LCM) of 59035 and 59041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59035 and 59041. First we will calculate the prime factors of 59035 and 59041.
Prime Factorization of 59035
Prime factors of 59035 are 5, 11807. Prime factorization of 59035 in exponential form is:
59035 = 51 × 118071
Prime Factorization of 59041
Prime factors of 59041 are 17, 23, 151. Prime factorization of 59041 in exponential form is:
59041 = 171 × 231 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 59035 and 59041.
LCM(59035,59041) = 51 × 118071 × 171 × 231 × 1511
LCM(59035,59041) = 3485485435
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