What is the Least Common Multiple of 93967 and 93985?
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 93967 and 93985 is 8831488495.
LCM(93967,93985) = 8831488495
Least Common Multiple of 93967 and 93985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93967 and 93985, than apply into the LCM equation.
GCF(93967,93985) = 1
LCM(93967,93985) = ( 93967 × 93985) / 1
LCM(93967,93985) = 8831488495 / 1
LCM(93967,93985) = 8831488495
Least Common Multiple (LCM) of 93967 and 93985 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93967 and 93985. First we will calculate the prime factors of 93967 and 93985.
Prime Factorization of 93967
Prime factors of 93967 are 93967. Prime factorization of 93967 in exponential form is:
93967 = 939671
Prime Factorization of 93985
Prime factors of 93985 are 5, 18797. Prime factorization of 93985 in exponential form is:
93985 = 51 × 187971
Now multiplying the highest exponent prime factors to calculate the LCM of 93967 and 93985.
LCM(93967,93985) = 939671 × 51 × 187971
LCM(93967,93985) = 8831488495
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