What is the Least Common Multiple of 79727 and 79733?
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 79727 and 79733 is 6356872891.
LCM(79727,79733) = 6356872891
Least Common Multiple of 79727 and 79733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79727 and 79733, than apply into the LCM equation.
GCF(79727,79733) = 1
LCM(79727,79733) = ( 79727 × 79733) / 1
LCM(79727,79733) = 6356872891 / 1
LCM(79727,79733) = 6356872891
Least Common Multiple (LCM) of 79727 and 79733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79727 and 79733. First we will calculate the prime factors of 79727 and 79733.
Prime Factorization of 79727
Prime factors of 79727 are 61, 1307. Prime factorization of 79727 in exponential form is:
79727 = 611 × 13071
Prime Factorization of 79733
Prime factors of 79733 are 71, 1123. Prime factorization of 79733 in exponential form is:
79733 = 711 × 11231
Now multiplying the highest exponent prime factors to calculate the LCM of 79727 and 79733.
LCM(79727,79733) = 611 × 13071 × 711 × 11231
LCM(79727,79733) = 6356872891
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