What is the Least Common Multiple of 56639 and 56658?
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 56639 and 56658 is 168897498.
LCM(56639,56658) = 168897498
Least Common Multiple of 56639 and 56658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56639 and 56658, than apply into the LCM equation.
GCF(56639,56658) = 19
LCM(56639,56658) = ( 56639 × 56658) / 19
LCM(56639,56658) = 3209052462 / 19
LCM(56639,56658) = 168897498
Least Common Multiple (LCM) of 56639 and 56658 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56639 and 56658. First we will calculate the prime factors of 56639 and 56658.
Prime Factorization of 56639
Prime factors of 56639 are 11, 19, 271. Prime factorization of 56639 in exponential form is:
56639 = 111 × 191 × 2711
Prime Factorization of 56658
Prime factors of 56658 are 2, 3, 7, 19, 71. Prime factorization of 56658 in exponential form is:
56658 = 21 × 31 × 71 × 191 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 56639 and 56658.
LCM(56639,56658) = 111 × 191 × 2711 × 21 × 31 × 71 × 711
LCM(56639,56658) = 168897498
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