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What is the Least Common Multiple of 54922 and 54942?

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 54922 and 54942 is 1508762262.

LCM(54922,54942) = 1508762262

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Least Common Multiple of 54922 and 54942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54922 and 54942, than apply into the LCM equation.

GCF(54922,54942) = 2
LCM(54922,54942) = ( 54922 × 54942) / 2
LCM(54922,54942) = 3017524524 / 2
LCM(54922,54942) = 1508762262

Least Common Multiple (LCM) of 54922 and 54942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54922 and 54942. First we will calculate the prime factors of 54922 and 54942.

Prime Factorization of 54922

Prime factors of 54922 are 2, 7, 3923. Prime factorization of 54922 in exponential form is:

54922 = 21 × 71 × 39231

Prime Factorization of 54942

Prime factors of 54942 are 2, 3, 9157. Prime factorization of 54942 in exponential form is:

54942 = 21 × 31 × 91571

Now multiplying the highest exponent prime factors to calculate the LCM of 54922 and 54942.

LCM(54922,54942) = 21 × 71 × 39231 × 31 × 91571
LCM(54922,54942) = 1508762262