What is the Least Common Multiple of 57702 and 57712?

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 57702 and 57712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57702 and 57712, than apply into the LCM equation.

GCF(57702,57712) = 2
LCM(57702,57712) = ( 57702 × 57712) / 2
LCM(57702,57712) = 3330097824 / 2
LCM(57702,57712) = 1665048912

Least Common Multiple (LCM) of 57702 and 57712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57702 and 57712. First we will calculate the prime factors of 57702 and 57712.

Prime Factorization of 57702

Prime Factorization of 57712

Now multiplying the highest exponent prime factors to calculate the LCM of 57702 and 57712.

LCM(57702,57712) = 2⁴ × 3¹ × 59¹ × 163¹ × 3607¹
LCM(57702,57712) = 1665048912