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What is the Least Common Multiple of 54274 and 54278?

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 54274 and 54278 is 1472942086.

LCM(54274,54278) = 1472942086

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Least Common Multiple of 54274 and 54278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54274 and 54278, than apply into the LCM equation.

GCF(54274,54278) = 2
LCM(54274,54278) = ( 54274 × 54278) / 2
LCM(54274,54278) = 2945884172 / 2
LCM(54274,54278) = 1472942086

Least Common Multiple (LCM) of 54274 and 54278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54274 and 54278. First we will calculate the prime factors of 54274 and 54278.

Prime Factorization of 54274

Prime factors of 54274 are 2, 11, 2467. Prime factorization of 54274 in exponential form is:

54274 = 21 × 111 × 24671

Prime Factorization of 54278

Prime factors of 54278 are 2, 7, 3877. Prime factorization of 54278 in exponential form is:

54278 = 21 × 71 × 38771

Now multiplying the highest exponent prime factors to calculate the LCM of 54274 and 54278.

LCM(54274,54278) = 21 × 111 × 24671 × 71 × 38771
LCM(54274,54278) = 1472942086