What is the Least Common Multiple of 67965 and 67985?
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 67965 and 67985 is 924120105.
LCM(67965,67985) = 924120105
Least Common Multiple of 67965 and 67985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67965 and 67985, than apply into the LCM equation.
GCF(67965,67985) = 5
LCM(67965,67985) = ( 67965 × 67985) / 5
LCM(67965,67985) = 4620600525 / 5
LCM(67965,67985) = 924120105
Least Common Multiple (LCM) of 67965 and 67985 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67965 and 67985. First we will calculate the prime factors of 67965 and 67985.
Prime Factorization of 67965
Prime factors of 67965 are 3, 5, 23, 197. Prime factorization of 67965 in exponential form is:
67965 = 31 × 51 × 231 × 1971
Prime Factorization of 67985
Prime factors of 67985 are 5, 13597. Prime factorization of 67985 in exponential form is:
67985 = 51 × 135971
Now multiplying the highest exponent prime factors to calculate the LCM of 67965 and 67985.
LCM(67965,67985) = 31 × 51 × 231 × 1971 × 135971
LCM(67965,67985) = 924120105
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