What is the Least Common Multiple of 1732 and 1736?

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 1732 and 1736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1732 and 1736, than apply into the LCM equation.

GCF(1732,1736) = 4
LCM(1732,1736) = ( 1732 × 1736) / 4
LCM(1732,1736) = 3006752 / 4
LCM(1732,1736) = 751688

Least Common Multiple (LCM) of 1732 and 1736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1732 and 1736. First we will calculate the prime factors of 1732 and 1736.

Prime Factorization of 1732

Prime Factorization of 1736

Now multiplying the highest exponent prime factors to calculate the LCM of 1732 and 1736.

LCM(1732,1736) = 2³ × 433¹ × 7¹ × 31¹
LCM(1732,1736) = 751688