What is the Least Common Multiple of 67190 and 67208?
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 67190 and 67208 is 2257852760.
LCM(67190,67208) = 2257852760
Least Common Multiple of 67190 and 67208 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67190 and 67208, than apply into the LCM equation.
GCF(67190,67208) = 2
LCM(67190,67208) = ( 67190 × 67208) / 2
LCM(67190,67208) = 4515705520 / 2
LCM(67190,67208) = 2257852760
Least Common Multiple (LCM) of 67190 and 67208 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67190 and 67208. First we will calculate the prime factors of 67190 and 67208.
Prime Factorization of 67190
Prime factors of 67190 are 2, 5, 6719. Prime factorization of 67190 in exponential form is:
67190 = 21 × 51 × 67191
Prime Factorization of 67208
Prime factors of 67208 are 2, 31, 271. Prime factorization of 67208 in exponential form is:
67208 = 23 × 311 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 67190 and 67208.
LCM(67190,67208) = 23 × 51 × 67191 × 311 × 2711
LCM(67190,67208) = 2257852760
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