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What is the Least Common Multiple of 1672 and 1680?

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 1672 and 1680 is 351120.

LCM(1672,1680) = 351120

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Least Common Multiple of 1672 and 1680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1672 and 1680, than apply into the LCM equation.

GCF(1672,1680) = 8
LCM(1672,1680) = ( 1672 × 1680) / 8
LCM(1672,1680) = 2808960 / 8
LCM(1672,1680) = 351120

Least Common Multiple (LCM) of 1672 and 1680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1672 and 1680. First we will calculate the prime factors of 1672 and 1680.

Prime Factorization of 1672

Prime factors of 1672 are 2, 11, 19. Prime factorization of 1672 in exponential form is:

1672 = 23 × 111 × 191

Prime Factorization of 1680

Prime factors of 1680 are 2, 3, 5, 7. Prime factorization of 1680 in exponential form is:

1680 = 24 × 31 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 1672 and 1680.

LCM(1672,1680) = 24 × 111 × 191 × 31 × 51 × 71
LCM(1672,1680) = 351120