What is the Least Common Multiple of 52835 and 52844?
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 52844 is 2792012740.
LCM(52835,52844) = 2792012740
Least Common Multiple of 52835 and 52844 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 52844, than apply into the LCM equation.
GCF(52835,52844) = 1
LCM(52835,52844) = ( 52835 × 52844) / 1
LCM(52835,52844) = 2792012740 / 1
LCM(52835,52844) = 2792012740
Least Common Multiple (LCM) of 52835 and 52844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52835 and 52844. First we will calculate the prime factors of 52835 and 52844.
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 52844
Prime factors of 52844 are 2, 11, 1201. Prime factorization of 52844 in exponential form is:
52844 = 22 × 111 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 52835 and 52844.
LCM(52835,52844) = 51 × 105671 × 22 × 111 × 12011
LCM(52835,52844) = 2792012740
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