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What is the Least Common Multiple of 54195 and 54206?

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 54195 and 54206 is 2937694170.

LCM(54195,54206) = 2937694170

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Least Common Multiple of 54195 and 54206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54195 and 54206, than apply into the LCM equation.

GCF(54195,54206) = 1
LCM(54195,54206) = ( 54195 × 54206) / 1
LCM(54195,54206) = 2937694170 / 1
LCM(54195,54206) = 2937694170

Least Common Multiple (LCM) of 54195 and 54206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54195 and 54206. First we will calculate the prime factors of 54195 and 54206.

Prime Factorization of 54195

Prime factors of 54195 are 3, 5, 3613. Prime factorization of 54195 in exponential form is:

54195 = 31 × 51 × 36131

Prime Factorization of 54206

Prime factors of 54206 are 2, 27103. Prime factorization of 54206 in exponential form is:

54206 = 21 × 271031

Now multiplying the highest exponent prime factors to calculate the LCM of 54195 and 54206.

LCM(54195,54206) = 31 × 51 × 36131 × 21 × 271031
LCM(54195,54206) = 2937694170