What is the Least Common Multiple of 21342 and 21358?
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 21342 and 21358 is 227911218.
LCM(21342,21358) = 227911218
Least Common Multiple of 21342 and 21358 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21342 and 21358, than apply into the LCM equation.
GCF(21342,21358) = 2
LCM(21342,21358) = ( 21342 × 21358) / 2
LCM(21342,21358) = 455822436 / 2
LCM(21342,21358) = 227911218
Least Common Multiple (LCM) of 21342 and 21358 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21342 and 21358. First we will calculate the prime factors of 21342 and 21358.
Prime Factorization of 21342
Prime factors of 21342 are 2, 3, 3557. Prime factorization of 21342 in exponential form is:
21342 = 21 × 31 × 35571
Prime Factorization of 21358
Prime factors of 21358 are 2, 59, 181. Prime factorization of 21358 in exponential form is:
21358 = 21 × 591 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 21342 and 21358.
LCM(21342,21358) = 21 × 31 × 35571 × 591 × 1811
LCM(21342,21358) = 227911218
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