What is the Least Common Multiple of 60846 and 60863?
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 60846 and 60863 is 3703270098.
LCM(60846,60863) = 3703270098
Least Common Multiple of 60846 and 60863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60846 and 60863, than apply into the LCM equation.
GCF(60846,60863) = 1
LCM(60846,60863) = ( 60846 × 60863) / 1
LCM(60846,60863) = 3703270098 / 1
LCM(60846,60863) = 3703270098
Least Common Multiple (LCM) of 60846 and 60863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60846 and 60863. First we will calculate the prime factors of 60846 and 60863.
Prime Factorization of 60846
Prime factors of 60846 are 2, 3, 10141. Prime factorization of 60846 in exponential form is:
60846 = 21 × 31 × 101411
Prime Factorization of 60863
Prime factors of 60863 are 11, 503. Prime factorization of 60863 in exponential form is:
60863 = 112 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 60846 and 60863.
LCM(60846,60863) = 21 × 31 × 101411 × 112 × 5031
LCM(60846,60863) = 3703270098
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