What is the Least Common Multiple of 86729 and 86737?
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 86729 and 86737 is 7522613273.
LCM(86729,86737) = 7522613273
Least Common Multiple of 86729 and 86737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86729 and 86737, than apply into the LCM equation.
GCF(86729,86737) = 1
LCM(86729,86737) = ( 86729 × 86737) / 1
LCM(86729,86737) = 7522613273 / 1
LCM(86729,86737) = 7522613273
Least Common Multiple (LCM) of 86729 and 86737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86729 and 86737. First we will calculate the prime factors of 86729 and 86737.
Prime Factorization of 86729
Prime factors of 86729 are 86729. Prime factorization of 86729 in exponential form is:
86729 = 867291
Prime Factorization of 86737
Prime factors of 86737 are 7, 12391. Prime factorization of 86737 in exponential form is:
86737 = 71 × 123911
Now multiplying the highest exponent prime factors to calculate the LCM of 86729 and 86737.
LCM(86729,86737) = 867291 × 71 × 123911
LCM(86729,86737) = 7522613273
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