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What is the Least Common Multiple of 30530 and 30542?

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 30530 and 30542 is 466223630.

LCM(30530,30542) = 466223630

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Least Common Multiple of 30530 and 30542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30530 and 30542, than apply into the LCM equation.

GCF(30530,30542) = 2
LCM(30530,30542) = ( 30530 × 30542) / 2
LCM(30530,30542) = 932447260 / 2
LCM(30530,30542) = 466223630

Least Common Multiple (LCM) of 30530 and 30542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30530 and 30542. First we will calculate the prime factors of 30530 and 30542.

Prime Factorization of 30530

Prime factors of 30530 are 2, 5, 43, 71. Prime factorization of 30530 in exponential form is:

30530 = 21 × 51 × 431 × 711

Prime Factorization of 30542

Prime factors of 30542 are 2, 15271. Prime factorization of 30542 in exponential form is:

30542 = 21 × 152711

Now multiplying the highest exponent prime factors to calculate the LCM of 30530 and 30542.

LCM(30530,30542) = 21 × 51 × 431 × 711 × 152711
LCM(30530,30542) = 466223630