What is the Least Common Multiple of 1654 and 1673?

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 of 1654 and 1673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1654 and 1673, than apply into the LCM equation.

GCF(1654,1673) = 1
LCM(1654,1673) = ( 1654 × 1673) / 1
LCM(1654,1673) = 2767142 / 1
LCM(1654,1673) = 2767142

Least Common Multiple (LCM) of 1654 and 1673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1654 and 1673. First we will calculate the prime factors of 1654 and 1673.

Prime Factorization of 1654

Prime Factorization of 1673

Now multiplying the highest exponent prime factors to calculate the LCM of 1654 and 1673.

LCM(1654,1673) = 2¹ × 827¹ × 7¹ × 239¹
LCM(1654,1673) = 2767142