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What is the Least Common Multiple of 54656 and 54669?

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 54656 and 54669 is 2987988864.

LCM(54656,54669) = 2987988864

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Least Common Multiple of 54656 and 54669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54656 and 54669, than apply into the LCM equation.

GCF(54656,54669) = 1
LCM(54656,54669) = ( 54656 × 54669) / 1
LCM(54656,54669) = 2987988864 / 1
LCM(54656,54669) = 2987988864

Least Common Multiple (LCM) of 54656 and 54669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54656 and 54669. First we will calculate the prime factors of 54656 and 54669.

Prime Factorization of 54656

Prime factors of 54656 are 2, 7, 61. Prime factorization of 54656 in exponential form is:

54656 = 27 × 71 × 611

Prime Factorization of 54669

Prime factors of 54669 are 3, 18223. Prime factorization of 54669 in exponential form is:

54669 = 31 × 182231

Now multiplying the highest exponent prime factors to calculate the LCM of 54656 and 54669.

LCM(54656,54669) = 27 × 71 × 611 × 31 × 182231
LCM(54656,54669) = 2987988864