What is the Least Common Multiple of 1760 and 1771?

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 1760 and 1771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1760 and 1771, than apply into the LCM equation.

GCF(1760,1771) = 11
LCM(1760,1771) = ( 1760 × 1771) / 11
LCM(1760,1771) = 3116960 / 11
LCM(1760,1771) = 283360

Least Common Multiple (LCM) of 1760 and 1771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1760 and 1771. First we will calculate the prime factors of 1760 and 1771.

Prime Factorization of 1760

Prime Factorization of 1771

Now multiplying the highest exponent prime factors to calculate the LCM of 1760 and 1771.

LCM(1760,1771) = 2⁵ × 5¹ × 11¹ × 7¹ × 23¹
LCM(1760,1771) = 283360