What is the Least Common Multiple of 67698 and 67703?
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 67698 and 67703 is 4583357694.
LCM(67698,67703) = 4583357694
Least Common Multiple of 67698 and 67703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67698 and 67703, than apply into the LCM equation.
GCF(67698,67703) = 1
LCM(67698,67703) = ( 67698 × 67703) / 1
LCM(67698,67703) = 4583357694 / 1
LCM(67698,67703) = 4583357694
Least Common Multiple (LCM) of 67698 and 67703 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67698 and 67703. First we will calculate the prime factors of 67698 and 67703.
Prime Factorization of 67698
Prime factors of 67698 are 2, 3, 3761. Prime factorization of 67698 in exponential form is:
67698 = 21 × 32 × 37611
Prime Factorization of 67703
Prime factors of 67703 are 79, 857. Prime factorization of 67703 in exponential form is:
67703 = 791 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 67698 and 67703.
LCM(67698,67703) = 21 × 32 × 37611 × 791 × 8571
LCM(67698,67703) = 4583357694
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