What is the Least Common Multiple of 4918 and 4922?
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 4918 and 4922 is 12103198.
LCM(4918,4922) = 12103198
Least Common Multiple of 4918 and 4922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4918 and 4922, than apply into the LCM equation.
GCF(4918,4922) = 2
LCM(4918,4922) = ( 4918 × 4922) / 2
LCM(4918,4922) = 24206396 / 2
LCM(4918,4922) = 12103198
Least Common Multiple (LCM) of 4918 and 4922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4918 and 4922. First we will calculate the prime factors of 4918 and 4922.
Prime Factorization of 4918
Prime factors of 4918 are 2, 2459. Prime factorization of 4918 in exponential form is:
4918 = 21 × 24591
Prime Factorization of 4922
Prime factors of 4922 are 2, 23, 107. Prime factorization of 4922 in exponential form is:
4922 = 21 × 231 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 4918 and 4922.
LCM(4918,4922) = 21 × 24591 × 231 × 1071
LCM(4918,4922) = 12103198
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