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What is the Least Common Multiple of 56178 and 56190?

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 56178 and 56190 is 526106970.

LCM(56178,56190) = 526106970

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Least Common Multiple of 56178 and 56190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56178 and 56190, than apply into the LCM equation.

GCF(56178,56190) = 6
LCM(56178,56190) = ( 56178 × 56190) / 6
LCM(56178,56190) = 3156641820 / 6
LCM(56178,56190) = 526106970

Least Common Multiple (LCM) of 56178 and 56190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56178 and 56190. First we will calculate the prime factors of 56178 and 56190.

Prime Factorization of 56178

Prime factors of 56178 are 2, 3, 3121. Prime factorization of 56178 in exponential form is:

56178 = 21 × 32 × 31211

Prime Factorization of 56190

Prime factors of 56190 are 2, 3, 5, 1873. Prime factorization of 56190 in exponential form is:

56190 = 21 × 31 × 51 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 56178 and 56190.

LCM(56178,56190) = 21 × 32 × 31211 × 51 × 18731
LCM(56178,56190) = 526106970