What is the Least Common Multiple of 30497 and 30502?
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 30497 and 30502 is 930219494.
LCM(30497,30502) = 930219494
Least Common Multiple of 30497 and 30502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30497 and 30502, than apply into the LCM equation.
GCF(30497,30502) = 1
LCM(30497,30502) = ( 30497 × 30502) / 1
LCM(30497,30502) = 930219494 / 1
LCM(30497,30502) = 930219494
Least Common Multiple (LCM) of 30497 and 30502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30497 and 30502. First we will calculate the prime factors of 30497 and 30502.
Prime Factorization of 30497
Prime factors of 30497 are 30497. Prime factorization of 30497 in exponential form is:
30497 = 304971
Prime Factorization of 30502
Prime factors of 30502 are 2, 101, 151. Prime factorization of 30502 in exponential form is:
30502 = 21 × 1011 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 30497 and 30502.
LCM(30497,30502) = 304971 × 21 × 1011 × 1511
LCM(30497,30502) = 930219494
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