What is the Least Common Multiple of 52835 and 52848?
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 52835 and 52848 is 2792224080.
LCM(52835,52848) = 2792224080
Least Common Multiple of 52835 and 52848 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52835 and 52848, than apply into the LCM equation.
GCF(52835,52848) = 1
LCM(52835,52848) = ( 52835 × 52848) / 1
LCM(52835,52848) = 2792224080 / 1
LCM(52835,52848) = 2792224080
Least Common Multiple (LCM) of 52835 and 52848 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52835 and 52848. First we will calculate the prime factors of 52835 and 52848.
Prime Factorization of 52835
Prime factors of 52835 are 5, 10567. Prime factorization of 52835 in exponential form is:
52835 = 51 × 105671
Prime Factorization of 52848
Prime factors of 52848 are 2, 3, 367. Prime factorization of 52848 in exponential form is:
52848 = 24 × 32 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 52835 and 52848.
LCM(52835,52848) = 51 × 105671 × 24 × 32 × 3671
LCM(52835,52848) = 2792224080
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