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What is the Least Common Multiple of 1657 and 1666?

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 1657 and 1666 is 2760562.

LCM(1657,1666) = 2760562

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Least Common Multiple of 1657 and 1666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1657 and 1666, than apply into the LCM equation.

GCF(1657,1666) = 1
LCM(1657,1666) = ( 1657 × 1666) / 1
LCM(1657,1666) = 2760562 / 1
LCM(1657,1666) = 2760562

Least Common Multiple (LCM) of 1657 and 1666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1657 and 1666. First we will calculate the prime factors of 1657 and 1666.

Prime Factorization of 1657

Prime factors of 1657 are 1657. Prime factorization of 1657 in exponential form is:

1657 = 16571

Prime Factorization of 1666

Prime factors of 1666 are 2, 7, 17. Prime factorization of 1666 in exponential form is:

1666 = 21 × 72 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1657 and 1666.

LCM(1657,1666) = 16571 × 21 × 72 × 171
LCM(1657,1666) = 2760562