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Least Common Multiple of 1762 and 1778

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 1762 and 1778 is 1566418.

LCM(1762,1778) = 1566418

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Least Common Multiple of 1762 and 1778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1762 and 1778, than apply into the LCM equation.

GCF(1762,1778) = 2
LCM(1762,1778) = ( 1762 × 1778) / 2
LCM(1762,1778) = 3132836 / 2
LCM(1762,1778) = 1566418

Least Common Multiple (LCM) of 1762 and 1778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1762 and 1778. First we will calculate the prime factors of 1762 and 1778.

Prime Factorization of 1762

Prime factors of 1762 are 2, 881. Prime factorization of 1762 in exponential form is:

1762 = 21 × 8811

Prime Factorization of 1778

Prime factors of 1778 are 2, 7, 127. Prime factorization of 1778 in exponential form is:

1778 = 21 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 1762 and 1778.

LCM(1762,1778) = 21 × 8811 × 71 × 1271
LCM(1762,1778) = 1566418

Recent Comments
Rahul maury 2020-03-14 19:09:55

Good and best

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