What is the Least Common Multiple of 67203 and 67217?
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 67203 and 67217 is 4517184051.
LCM(67203,67217) = 4517184051
Least Common Multiple of 67203 and 67217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67203 and 67217, than apply into the LCM equation.
GCF(67203,67217) = 1
LCM(67203,67217) = ( 67203 × 67217) / 1
LCM(67203,67217) = 4517184051 / 1
LCM(67203,67217) = 4517184051
Least Common Multiple (LCM) of 67203 and 67217 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67203 and 67217. First we will calculate the prime factors of 67203 and 67217.
Prime Factorization of 67203
Prime factors of 67203 are 3, 19, 131. Prime factorization of 67203 in exponential form is:
67203 = 33 × 191 × 1311
Prime Factorization of 67217
Prime factors of 67217 are 67217. Prime factorization of 67217 in exponential form is:
67217 = 672171
Now multiplying the highest exponent prime factors to calculate the LCM of 67203 and 67217.
LCM(67203,67217) = 33 × 191 × 1311 × 672171
LCM(67203,67217) = 4517184051
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