What is the Least Common Multiple of 60316 and 60331?
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 60316 and 60331 is 3638924596.
LCM(60316,60331) = 3638924596
Least Common Multiple of 60316 and 60331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60316 and 60331, than apply into the LCM equation.
GCF(60316,60331) = 1
LCM(60316,60331) = ( 60316 × 60331) / 1
LCM(60316,60331) = 3638924596 / 1
LCM(60316,60331) = 3638924596
Least Common Multiple (LCM) of 60316 and 60331 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60316 and 60331. First we will calculate the prime factors of 60316 and 60331.
Prime Factorization of 60316
Prime factors of 60316 are 2, 17, 887. Prime factorization of 60316 in exponential form is:
60316 = 22 × 171 × 8871
Prime Factorization of 60331
Prime factors of 60331 are 60331. Prime factorization of 60331 in exponential form is:
60331 = 603311
Now multiplying the highest exponent prime factors to calculate the LCM of 60316 and 60331.
LCM(60316,60331) = 22 × 171 × 8871 × 603311
LCM(60316,60331) = 3638924596
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