What is the Least Common Multiple of 1649 and 1659?

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 1649 and 1659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1649 and 1659, than apply into the LCM equation.

GCF(1649,1659) = 1
LCM(1649,1659) = ( 1649 × 1659) / 1
LCM(1649,1659) = 2735691 / 1
LCM(1649,1659) = 2735691

Least Common Multiple (LCM) of 1649 and 1659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1649 and 1659. First we will calculate the prime factors of 1649 and 1659.

Prime Factorization of 1649

Prime Factorization of 1659

Now multiplying the highest exponent prime factors to calculate the LCM of 1649 and 1659.

LCM(1649,1659) = 17¹ × 97¹ × 3¹ × 7¹ × 79¹
LCM(1649,1659) = 2735691