What is the Least Common Multiple of 79633 and 79652?
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 79633 and 79652 is 6342927716.
LCM(79633,79652) = 6342927716
Least Common Multiple of 79633 and 79652 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79633 and 79652, than apply into the LCM equation.
GCF(79633,79652) = 1
LCM(79633,79652) = ( 79633 × 79652) / 1
LCM(79633,79652) = 6342927716 / 1
LCM(79633,79652) = 6342927716
Least Common Multiple (LCM) of 79633 and 79652 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79633 and 79652. First we will calculate the prime factors of 79633 and 79652.
Prime Factorization of 79633
Prime factors of 79633 are 79633. Prime factorization of 79633 in exponential form is:
79633 = 796331
Prime Factorization of 79652
Prime factors of 79652 are 2, 19913. Prime factorization of 79652 in exponential form is:
79652 = 22 × 199131
Now multiplying the highest exponent prime factors to calculate the LCM of 79633 and 79652.
LCM(79633,79652) = 796331 × 22 × 199131
LCM(79633,79652) = 6342927716
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