What is the Least Common Multiple of 62791 and 62798?
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 62791 and 62798 is 3943149218.
LCM(62791,62798) = 3943149218
Least Common Multiple of 62791 and 62798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62791 and 62798, than apply into the LCM equation.
GCF(62791,62798) = 1
LCM(62791,62798) = ( 62791 × 62798) / 1
LCM(62791,62798) = 3943149218 / 1
LCM(62791,62798) = 3943149218
Least Common Multiple (LCM) of 62791 and 62798 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62791 and 62798. First we will calculate the prime factors of 62791 and 62798.
Prime Factorization of 62791
Prime factors of 62791 are 62791. Prime factorization of 62791 in exponential form is:
62791 = 627911
Prime Factorization of 62798
Prime factors of 62798 are 2, 17, 1847. Prime factorization of 62798 in exponential form is:
62798 = 21 × 171 × 18471
Now multiplying the highest exponent prime factors to calculate the LCM of 62791 and 62798.
LCM(62791,62798) = 627911 × 21 × 171 × 18471
LCM(62791,62798) = 3943149218
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