What is the Least Common Multiple of 60835 and 60844?
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 60835 and 60844 is 3701444740.
LCM(60835,60844) = 3701444740
Least Common Multiple of 60835 and 60844 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60835 and 60844, than apply into the LCM equation.
GCF(60835,60844) = 1
LCM(60835,60844) = ( 60835 × 60844) / 1
LCM(60835,60844) = 3701444740 / 1
LCM(60835,60844) = 3701444740
Least Common Multiple (LCM) of 60835 and 60844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60835 and 60844. First we will calculate the prime factors of 60835 and 60844.
Prime Factorization of 60835
Prime factors of 60835 are 5, 23. Prime factorization of 60835 in exponential form is:
60835 = 51 × 233
Prime Factorization of 60844
Prime factors of 60844 are 2, 7, 41, 53. Prime factorization of 60844 in exponential form is:
60844 = 22 × 71 × 411 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 60835 and 60844.
LCM(60835,60844) = 51 × 233 × 22 × 71 × 411 × 531
LCM(60835,60844) = 3701444740
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