What is the Least Common Multiple of 34890 and 34898?
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 34890 and 34898 is 608795610.
LCM(34890,34898) = 608795610
Least Common Multiple of 34890 and 34898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34890 and 34898, than apply into the LCM equation.
GCF(34890,34898) = 2
LCM(34890,34898) = ( 34890 × 34898) / 2
LCM(34890,34898) = 1217591220 / 2
LCM(34890,34898) = 608795610
Least Common Multiple (LCM) of 34890 and 34898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34890 and 34898. First we will calculate the prime factors of 34890 and 34898.
Prime Factorization of 34890
Prime factors of 34890 are 2, 3, 5, 1163. Prime factorization of 34890 in exponential form is:
34890 = 21 × 31 × 51 × 11631
Prime Factorization of 34898
Prime factors of 34898 are 2, 17449. Prime factorization of 34898 in exponential form is:
34898 = 21 × 174491
Now multiplying the highest exponent prime factors to calculate the LCM of 34890 and 34898.
LCM(34890,34898) = 21 × 31 × 51 × 11631 × 174491
LCM(34890,34898) = 608795610
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