What is the Least Common Multiple of 67153 and 67163?
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 67153 and 67163 is 4510196939.
LCM(67153,67163) = 4510196939
Least Common Multiple of 67153 and 67163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67153 and 67163, than apply into the LCM equation.
GCF(67153,67163) = 1
LCM(67153,67163) = ( 67153 × 67163) / 1
LCM(67153,67163) = 4510196939 / 1
LCM(67153,67163) = 4510196939
Least Common Multiple (LCM) of 67153 and 67163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67153 and 67163. First we will calculate the prime factors of 67153 and 67163.
Prime Factorization of 67153
Prime factors of 67153 are 67153. Prime factorization of 67153 in exponential form is:
67153 = 671531
Prime Factorization of 67163
Prime factors of 67163 are 47, 1429. Prime factorization of 67163 in exponential form is:
67163 = 471 × 14291
Now multiplying the highest exponent prime factors to calculate the LCM of 67153 and 67163.
LCM(67153,67163) = 671531 × 471 × 14291
LCM(67153,67163) = 4510196939
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