What is the Least Common Multiple of 67208 and 67213?
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 67208 and 67213 is 4517251304.
LCM(67208,67213) = 4517251304
Least Common Multiple of 67208 and 67213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67208 and 67213, than apply into the LCM equation.
GCF(67208,67213) = 1
LCM(67208,67213) = ( 67208 × 67213) / 1
LCM(67208,67213) = 4517251304 / 1
LCM(67208,67213) = 4517251304
Least Common Multiple (LCM) of 67208 and 67213 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67208 and 67213. First we will calculate the prime factors of 67208 and 67213.
Prime Factorization of 67208
Prime factors of 67208 are 2, 31, 271. Prime factorization of 67208 in exponential form is:
67208 = 23 × 311 × 2711
Prime Factorization of 67213
Prime factors of 67213 are 67213. Prime factorization of 67213 in exponential form is:
67213 = 672131
Now multiplying the highest exponent prime factors to calculate the LCM of 67208 and 67213.
LCM(67208,67213) = 23 × 311 × 2711 × 672131
LCM(67208,67213) = 4517251304
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