What is the Least Common Multiple of 4922 and 4926?
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 4922 and 4926 is 12122886.
LCM(4922,4926) = 12122886
Least Common Multiple of 4922 and 4926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4922 and 4926, than apply into the LCM equation.
GCF(4922,4926) = 2
LCM(4922,4926) = ( 4922 × 4926) / 2
LCM(4922,4926) = 24245772 / 2
LCM(4922,4926) = 12122886
Least Common Multiple (LCM) of 4922 and 4926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4922 and 4926. First we will calculate the prime factors of 4922 and 4926.
Prime Factorization of 4922
Prime factors of 4922 are 2, 23, 107. Prime factorization of 4922 in exponential form is:
4922 = 21 × 231 × 1071
Prime Factorization of 4926
Prime factors of 4926 are 2, 3, 821. Prime factorization of 4926 in exponential form is:
4926 = 21 × 31 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 4922 and 4926.
LCM(4922,4926) = 21 × 231 × 1071 × 31 × 8211
LCM(4922,4926) = 12122886
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