What is the Least Common Multiple of 1755 and 1772?

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 1755 and 1772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1755 and 1772, than apply into the LCM equation.

GCF(1755,1772) = 1
LCM(1755,1772) = ( 1755 × 1772) / 1
LCM(1755,1772) = 3109860 / 1
LCM(1755,1772) = 3109860

Least Common Multiple (LCM) of 1755 and 1772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1755 and 1772. First we will calculate the prime factors of 1755 and 1772.

Prime Factorization of 1755

Prime Factorization of 1772

Now multiplying the highest exponent prime factors to calculate the LCM of 1755 and 1772.

LCM(1755,1772) = 3³ × 5¹ × 13¹ × 2² × 443¹
LCM(1755,1772) = 3109860