What is the Least Common Multiple of 30634 and 30639?
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 30634 and 30639 is 938595126.
LCM(30634,30639) = 938595126
Least Common Multiple of 30634 and 30639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30634 and 30639, than apply into the LCM equation.
GCF(30634,30639) = 1
LCM(30634,30639) = ( 30634 × 30639) / 1
LCM(30634,30639) = 938595126 / 1
LCM(30634,30639) = 938595126
Least Common Multiple (LCM) of 30634 and 30639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30634 and 30639. First we will calculate the prime factors of 30634 and 30639.
Prime Factorization of 30634
Prime factors of 30634 are 2, 17, 53. Prime factorization of 30634 in exponential form is:
30634 = 21 × 172 × 531
Prime Factorization of 30639
Prime factors of 30639 are 3, 7, 1459. Prime factorization of 30639 in exponential form is:
30639 = 31 × 71 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 30634 and 30639.
LCM(30634,30639) = 21 × 172 × 531 × 31 × 71 × 14591
LCM(30634,30639) = 938595126
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