GCF and LCM Calculator Logo

What is the Least Common Multiple of 1751 and 1762?

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 (LCM) of 1751 and 1762 is 3085262.

LCM(1751,1762) = 3085262

LCM Calculator and
and

Least Common Multiple of 1751 and 1762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1751 and 1762, than apply into the LCM equation.

GCF(1751,1762) = 1
LCM(1751,1762) = ( 1751 × 1762) / 1
LCM(1751,1762) = 3085262 / 1
LCM(1751,1762) = 3085262

Least Common Multiple (LCM) of 1751 and 1762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1751 and 1762. First we will calculate the prime factors of 1751 and 1762.

Prime Factorization of 1751

Prime factors of 1751 are 17, 103. Prime factorization of 1751 in exponential form is:

1751 = 171 × 1031

Prime Factorization of 1762

Prime factors of 1762 are 2, 881. Prime factorization of 1762 in exponential form is:

1762 = 21 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 1751 and 1762.

LCM(1751,1762) = 171 × 1031 × 21 × 8811
LCM(1751,1762) = 3085262