What is the Least Common Multiple of 67703 and 67721?
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 67703 and 67721 is 4584914863.
LCM(67703,67721) = 4584914863
Least Common Multiple of 67703 and 67721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67703 and 67721, than apply into the LCM equation.
GCF(67703,67721) = 1
LCM(67703,67721) = ( 67703 × 67721) / 1
LCM(67703,67721) = 4584914863 / 1
LCM(67703,67721) = 4584914863
Least Common Multiple (LCM) of 67703 and 67721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67703 and 67721. First we will calculate the prime factors of 67703 and 67721.
Prime Factorization of 67703
Prime factors of 67703 are 79, 857. Prime factorization of 67703 in exponential form is:
67703 = 791 × 8571
Prime Factorization of 67721
Prime factors of 67721 are 241, 281. Prime factorization of 67721 in exponential form is:
67721 = 2411 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 67703 and 67721.
LCM(67703,67721) = 791 × 8571 × 2411 × 2811
LCM(67703,67721) = 4584914863
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