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What is the Least Common Multiple of 42548 and 42557?

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 42548 and 42557 is 1810715236.

LCM(42548,42557) = 1810715236

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Least Common Multiple of 42548 and 42557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42548 and 42557, than apply into the LCM equation.

GCF(42548,42557) = 1
LCM(42548,42557) = ( 42548 × 42557) / 1
LCM(42548,42557) = 1810715236 / 1
LCM(42548,42557) = 1810715236

Least Common Multiple (LCM) of 42548 and 42557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42548 and 42557. First we will calculate the prime factors of 42548 and 42557.

Prime Factorization of 42548

Prime factors of 42548 are 2, 11, 967. Prime factorization of 42548 in exponential form is:

42548 = 22 × 111 × 9671

Prime Factorization of 42557

Prime factors of 42557 are 42557. Prime factorization of 42557 in exponential form is:

42557 = 425571

Now multiplying the highest exponent prime factors to calculate the LCM of 42548 and 42557.

LCM(42548,42557) = 22 × 111 × 9671 × 425571
LCM(42548,42557) = 1810715236