What is the Least Common Multiple of 67103 and 67109?
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 67103 and 67109 is 4503215227.
LCM(67103,67109) = 4503215227
Least Common Multiple of 67103 and 67109 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67103 and 67109, than apply into the LCM equation.
GCF(67103,67109) = 1
LCM(67103,67109) = ( 67103 × 67109) / 1
LCM(67103,67109) = 4503215227 / 1
LCM(67103,67109) = 4503215227
Least Common Multiple (LCM) of 67103 and 67109 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67103 and 67109. First we will calculate the prime factors of 67103 and 67109.
Prime Factorization of 67103
Prime factors of 67103 are 67103. Prime factorization of 67103 in exponential form is:
67103 = 671031
Prime Factorization of 67109
Prime factors of 67109 are 7, 9587. Prime factorization of 67109 in exponential form is:
67109 = 71 × 95871
Now multiplying the highest exponent prime factors to calculate the LCM of 67103 and 67109.
LCM(67103,67109) = 671031 × 71 × 95871
LCM(67103,67109) = 4503215227
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