What is the Least Common Multiple of 19844 and 19848?
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 19844 and 19848 is 98465928.
LCM(19844,19848) = 98465928
Least Common Multiple of 19844 and 19848 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19844 and 19848, than apply into the LCM equation.
GCF(19844,19848) = 4
LCM(19844,19848) = ( 19844 × 19848) / 4
LCM(19844,19848) = 393863712 / 4
LCM(19844,19848) = 98465928
Least Common Multiple (LCM) of 19844 and 19848 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19844 and 19848. First we will calculate the prime factors of 19844 and 19848.
Prime Factorization of 19844
Prime factors of 19844 are 2, 11, 41. Prime factorization of 19844 in exponential form is:
19844 = 22 × 112 × 411
Prime Factorization of 19848
Prime factors of 19848 are 2, 3, 827. Prime factorization of 19848 in exponential form is:
19848 = 23 × 31 × 8271
Now multiplying the highest exponent prime factors to calculate the LCM of 19844 and 19848.
LCM(19844,19848) = 23 × 112 × 411 × 31 × 8271
LCM(19844,19848) = 98465928
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