What is the Least Common Multiple of 60855 and 60859?
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 60855 and 60859 is 3703574445.
LCM(60855,60859) = 3703574445
Least Common Multiple of 60855 and 60859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60855 and 60859, than apply into the LCM equation.
GCF(60855,60859) = 1
LCM(60855,60859) = ( 60855 × 60859) / 1
LCM(60855,60859) = 3703574445 / 1
LCM(60855,60859) = 3703574445
Least Common Multiple (LCM) of 60855 and 60859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60855 and 60859. First we will calculate the prime factors of 60855 and 60859.
Prime Factorization of 60855
Prime factors of 60855 are 3, 5, 4057. Prime factorization of 60855 in exponential form is:
60855 = 31 × 51 × 40571
Prime Factorization of 60859
Prime factors of 60859 are 60859. Prime factorization of 60859 in exponential form is:
60859 = 608591
Now multiplying the highest exponent prime factors to calculate the LCM of 60855 and 60859.
LCM(60855,60859) = 31 × 51 × 40571 × 608591
LCM(60855,60859) = 3703574445
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