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What is the Least Common Multiple of 1648 and 1657?

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 1648 and 1657 is 2730736.

LCM(1648,1657) = 2730736

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Least Common Multiple of 1648 and 1657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1648 and 1657, than apply into the LCM equation.

GCF(1648,1657) = 1
LCM(1648,1657) = ( 1648 × 1657) / 1
LCM(1648,1657) = 2730736 / 1
LCM(1648,1657) = 2730736

Least Common Multiple (LCM) of 1648 and 1657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1648 and 1657. First we will calculate the prime factors of 1648 and 1657.

Prime Factorization of 1648

Prime factors of 1648 are 2, 103. Prime factorization of 1648 in exponential form is:

1648 = 24 × 1031

Prime Factorization of 1657

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

1657 = 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 1648 and 1657.

LCM(1648,1657) = 24 × 1031 × 16571
LCM(1648,1657) = 2730736