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What is the Least Common Multiple of 18061 and 18070?

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 18061 and 18070 is 326362270.

LCM(18061,18070) = 326362270

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Least Common Multiple of 18061 and 18070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18061 and 18070, than apply into the LCM equation.

GCF(18061,18070) = 1
LCM(18061,18070) = ( 18061 × 18070) / 1
LCM(18061,18070) = 326362270 / 1
LCM(18061,18070) = 326362270

Least Common Multiple (LCM) of 18061 and 18070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18061 and 18070. First we will calculate the prime factors of 18061 and 18070.

Prime Factorization of 18061

Prime factors of 18061 are 18061. Prime factorization of 18061 in exponential form is:

18061 = 180611

Prime Factorization of 18070

Prime factors of 18070 are 2, 5, 13, 139. Prime factorization of 18070 in exponential form is:

18070 = 21 × 51 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 18061 and 18070.

LCM(18061,18070) = 180611 × 21 × 51 × 131 × 1391
LCM(18061,18070) = 326362270