What is the Least Common Multiple of 60934 and 60938?
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 60934 and 60938 is 1856598046.
LCM(60934,60938) = 1856598046
Least Common Multiple of 60934 and 60938 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60934 and 60938, than apply into the LCM equation.
GCF(60934,60938) = 2
LCM(60934,60938) = ( 60934 × 60938) / 2
LCM(60934,60938) = 3713196092 / 2
LCM(60934,60938) = 1856598046
Least Common Multiple (LCM) of 60934 and 60938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60934 and 60938. First we will calculate the prime factors of 60934 and 60938.
Prime Factorization of 60934
Prime factors of 60934 are 2, 30467. Prime factorization of 60934 in exponential form is:
60934 = 21 × 304671
Prime Factorization of 60938
Prime factors of 60938 are 2, 30469. Prime factorization of 60938 in exponential form is:
60938 = 21 × 304691
Now multiplying the highest exponent prime factors to calculate the LCM of 60934 and 60938.
LCM(60934,60938) = 21 × 304671 × 304691
LCM(60934,60938) = 1856598046
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