What is the Least Common Multiple of 1758 and 1777?

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 1758 and 1777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1758 and 1777, than apply into the LCM equation.

GCF(1758,1777) = 1
LCM(1758,1777) = ( 1758 × 1777) / 1
LCM(1758,1777) = 3123966 / 1
LCM(1758,1777) = 3123966

Least Common Multiple (LCM) of 1758 and 1777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1758 and 1777. First we will calculate the prime factors of 1758 and 1777.

Prime Factorization of 1758

Prime Factorization of 1777

Now multiplying the highest exponent prime factors to calculate the LCM of 1758 and 1777.

LCM(1758,1777) = 2¹ × 3¹ × 293¹ × 1777¹
LCM(1758,1777) = 3123966