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What is the Least Common Multiple of 30011 and 30026?

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 30011 and 30026 is 901110286.

LCM(30011,30026) = 901110286

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Least Common Multiple of 30011 and 30026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30011 and 30026, than apply into the LCM equation.

GCF(30011,30026) = 1
LCM(30011,30026) = ( 30011 × 30026) / 1
LCM(30011,30026) = 901110286 / 1
LCM(30011,30026) = 901110286

Least Common Multiple (LCM) of 30011 and 30026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30011 and 30026. First we will calculate the prime factors of 30011 and 30026.

Prime Factorization of 30011

Prime factors of 30011 are 30011. Prime factorization of 30011 in exponential form is:

30011 = 300111

Prime Factorization of 30026

Prime factors of 30026 are 2, 15013. Prime factorization of 30026 in exponential form is:

30026 = 21 × 150131

Now multiplying the highest exponent prime factors to calculate the LCM of 30011 and 30026.

LCM(30011,30026) = 300111 × 21 × 150131
LCM(30011,30026) = 901110286