What is the Least Common Multiple of 19983 and 19996?
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 19983 and 19996 is 399580068.
LCM(19983,19996) = 399580068
Least Common Multiple of 19983 and 19996 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19983 and 19996, than apply into the LCM equation.
GCF(19983,19996) = 1
LCM(19983,19996) = ( 19983 × 19996) / 1
LCM(19983,19996) = 399580068 / 1
LCM(19983,19996) = 399580068
Least Common Multiple (LCM) of 19983 and 19996 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19983 and 19996. First we will calculate the prime factors of 19983 and 19996.
Prime Factorization of 19983
Prime factors of 19983 are 3, 6661. Prime factorization of 19983 in exponential form is:
19983 = 31 × 66611
Prime Factorization of 19996
Prime factors of 19996 are 2, 4999. Prime factorization of 19996 in exponential form is:
19996 = 22 × 49991
Now multiplying the highest exponent prime factors to calculate the LCM of 19983 and 19996.
LCM(19983,19996) = 31 × 66611 × 22 × 49991
LCM(19983,19996) = 399580068
Related Least Common Multiples of 19983
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- LCM of 19996 and 20002
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