What is the Least Common Multiple of 10049 and 10054?
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 10049 and 10054 is 101032646.
LCM(10049,10054) = 101032646
Least Common Multiple of 10049 and 10054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10049 and 10054, than apply into the LCM equation.
GCF(10049,10054) = 1
LCM(10049,10054) = ( 10049 × 10054) / 1
LCM(10049,10054) = 101032646 / 1
LCM(10049,10054) = 101032646
Least Common Multiple (LCM) of 10049 and 10054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10049 and 10054. First we will calculate the prime factors of 10049 and 10054.
Prime Factorization of 10049
Prime factors of 10049 are 13, 773. Prime factorization of 10049 in exponential form is:
10049 = 131 × 7731
Prime Factorization of 10054
Prime factors of 10054 are 2, 11, 457. Prime factorization of 10054 in exponential form is:
10054 = 21 × 111 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 10049 and 10054.
LCM(10049,10054) = 131 × 7731 × 21 × 111 × 4571
LCM(10049,10054) = 101032646
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