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What is the Least Common Multiple of 54560 and 54580?

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 54560 and 54580 is 148894240.

LCM(54560,54580) = 148894240

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Least Common Multiple of 54560 and 54580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54560 and 54580, than apply into the LCM equation.

GCF(54560,54580) = 20
LCM(54560,54580) = ( 54560 × 54580) / 20
LCM(54560,54580) = 2977884800 / 20
LCM(54560,54580) = 148894240

Least Common Multiple (LCM) of 54560 and 54580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54560 and 54580. First we will calculate the prime factors of 54560 and 54580.

Prime Factorization of 54560

Prime factors of 54560 are 2, 5, 11, 31. Prime factorization of 54560 in exponential form is:

54560 = 25 × 51 × 111 × 311

Prime Factorization of 54580

Prime factors of 54580 are 2, 5, 2729. Prime factorization of 54580 in exponential form is:

54580 = 22 × 51 × 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 54560 and 54580.

LCM(54560,54580) = 25 × 51 × 111 × 311 × 27291
LCM(54560,54580) = 148894240