What is the Least Common Multiple of 67195 and 67200?
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 67195 and 67200 is 903100800.
LCM(67195,67200) = 903100800
Least Common Multiple of 67195 and 67200 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67195 and 67200, than apply into the LCM equation.
GCF(67195,67200) = 5
LCM(67195,67200) = ( 67195 × 67200) / 5
LCM(67195,67200) = 4515504000 / 5
LCM(67195,67200) = 903100800
Least Common Multiple (LCM) of 67195 and 67200 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67195 and 67200. First we will calculate the prime factors of 67195 and 67200.
Prime Factorization of 67195
Prime factors of 67195 are 5, 89, 151. Prime factorization of 67195 in exponential form is:
67195 = 51 × 891 × 1511
Prime Factorization of 67200
Prime factors of 67200 are 2, 3, 5, 7. Prime factorization of 67200 in exponential form is:
67200 = 27 × 31 × 52 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 67195 and 67200.
LCM(67195,67200) = 52 × 891 × 1511 × 27 × 31 × 71
LCM(67195,67200) = 903100800
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