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What is the Least Common Multiple of 54637 and 54648?

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 54637 and 54648 is 271436616.

LCM(54637,54648) = 271436616

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Least Common Multiple of 54637 and 54648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54637 and 54648, than apply into the LCM equation.

GCF(54637,54648) = 11
LCM(54637,54648) = ( 54637 × 54648) / 11
LCM(54637,54648) = 2985802776 / 11
LCM(54637,54648) = 271436616

Least Common Multiple (LCM) of 54637 and 54648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54637 and 54648. First we will calculate the prime factors of 54637 and 54648.

Prime Factorization of 54637

Prime factors of 54637 are 11, 4967. Prime factorization of 54637 in exponential form is:

54637 = 111 × 49671

Prime Factorization of 54648

Prime factors of 54648 are 2, 3, 11, 23. Prime factorization of 54648 in exponential form is:

54648 = 23 × 33 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 54637 and 54648.

LCM(54637,54648) = 111 × 49671 × 23 × 33 × 231
LCM(54637,54648) = 271436616