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What is the Least Common Multiple of 30189 and 30202?

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 30189 and 30202 is 911768178.

LCM(30189,30202) = 911768178

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Least Common Multiple of 30189 and 30202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30189 and 30202, than apply into the LCM equation.

GCF(30189,30202) = 1
LCM(30189,30202) = ( 30189 × 30202) / 1
LCM(30189,30202) = 911768178 / 1
LCM(30189,30202) = 911768178

Least Common Multiple (LCM) of 30189 and 30202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30189 and 30202. First we will calculate the prime factors of 30189 and 30202.

Prime Factorization of 30189

Prime factors of 30189 are 3, 29, 347. Prime factorization of 30189 in exponential form is:

30189 = 31 × 291 × 3471

Prime Factorization of 30202

Prime factors of 30202 are 2, 15101. Prime factorization of 30202 in exponential form is:

30202 = 21 × 151011

Now multiplying the highest exponent prime factors to calculate the LCM of 30189 and 30202.

LCM(30189,30202) = 31 × 291 × 3471 × 21 × 151011
LCM(30189,30202) = 911768178