What is the Least Common Multiple of 49868 and 49884?
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 49868 and 49884 is 621903828.
LCM(49868,49884) = 621903828
Least Common Multiple of 49868 and 49884 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49868 and 49884, than apply into the LCM equation.
GCF(49868,49884) = 4
LCM(49868,49884) = ( 49868 × 49884) / 4
LCM(49868,49884) = 2487615312 / 4
LCM(49868,49884) = 621903828
Least Common Multiple (LCM) of 49868 and 49884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49868 and 49884. First we will calculate the prime factors of 49868 and 49884.
Prime Factorization of 49868
Prime factors of 49868 are 2, 7, 13, 137. Prime factorization of 49868 in exponential form is:
49868 = 22 × 71 × 131 × 1371
Prime Factorization of 49884
Prime factors of 49884 are 2, 3, 4157. Prime factorization of 49884 in exponential form is:
49884 = 22 × 31 × 41571
Now multiplying the highest exponent prime factors to calculate the LCM of 49868 and 49884.
LCM(49868,49884) = 22 × 71 × 131 × 1371 × 31 × 41571
LCM(49868,49884) = 621903828
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