What is the Least Common Multiple of 55726 and 55730?
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 55726 and 55730 is 1552804990.
LCM(55726,55730) = 1552804990
Least Common Multiple of 55726 and 55730 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55726 and 55730, than apply into the LCM equation.
GCF(55726,55730) = 2
LCM(55726,55730) = ( 55726 × 55730) / 2
LCM(55726,55730) = 3105609980 / 2
LCM(55726,55730) = 1552804990
Least Common Multiple (LCM) of 55726 and 55730 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55726 and 55730. First we will calculate the prime factors of 55726 and 55730.
Prime Factorization of 55726
Prime factors of 55726 are 2, 11, 17, 149. Prime factorization of 55726 in exponential form is:
55726 = 21 × 111 × 171 × 1491
Prime Factorization of 55730
Prime factors of 55730 are 2, 5, 5573. Prime factorization of 55730 in exponential form is:
55730 = 21 × 51 × 55731
Now multiplying the highest exponent prime factors to calculate the LCM of 55726 and 55730.
LCM(55726,55730) = 21 × 111 × 171 × 1491 × 51 × 55731
LCM(55726,55730) = 1552804990
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