What is the Least Common Multiple of 67175 and 67188?
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 67175 and 67188 is 4513353900.
LCM(67175,67188) = 4513353900
Least Common Multiple of 67175 and 67188 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67175 and 67188, than apply into the LCM equation.
GCF(67175,67188) = 1
LCM(67175,67188) = ( 67175 × 67188) / 1
LCM(67175,67188) = 4513353900 / 1
LCM(67175,67188) = 4513353900
Least Common Multiple (LCM) of 67175 and 67188 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67175 and 67188. First we will calculate the prime factors of 67175 and 67188.
Prime Factorization of 67175
Prime factors of 67175 are 5, 2687. Prime factorization of 67175 in exponential form is:
67175 = 52 × 26871
Prime Factorization of 67188
Prime factors of 67188 are 2, 3, 11, 509. Prime factorization of 67188 in exponential form is:
67188 = 22 × 31 × 111 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 67175 and 67188.
LCM(67175,67188) = 52 × 26871 × 22 × 31 × 111 × 5091
LCM(67175,67188) = 4513353900
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