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What is the Least Common Multiple of 30061 and 30065?

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 30061 and 30065 is 903783965.

LCM(30061,30065) = 903783965

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Least Common Multiple of 30061 and 30065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30061 and 30065, than apply into the LCM equation.

GCF(30061,30065) = 1
LCM(30061,30065) = ( 30061 × 30065) / 1
LCM(30061,30065) = 903783965 / 1
LCM(30061,30065) = 903783965

Least Common Multiple (LCM) of 30061 and 30065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30061 and 30065. First we will calculate the prime factors of 30061 and 30065.

Prime Factorization of 30061

Prime factors of 30061 are 23, 1307. Prime factorization of 30061 in exponential form is:

30061 = 231 × 13071

Prime Factorization of 30065

Prime factors of 30065 are 5, 7, 859. Prime factorization of 30065 in exponential form is:

30065 = 51 × 71 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 30061 and 30065.

LCM(30061,30065) = 231 × 13071 × 51 × 71 × 8591
LCM(30061,30065) = 903783965