What is the Least Common Multiple of 76702 and 76712?

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 76702 and 76712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76702 and 76712, than apply into the LCM equation.

GCF(76702,76712) = 2
LCM(76702,76712) = ( 76702 × 76712) / 2
LCM(76702,76712) = 5883963824 / 2
LCM(76702,76712) = 2941981912

Least Common Multiple (LCM) of 76702 and 76712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76702 and 76712. First we will calculate the prime factors of 76702 and 76712.

Prime Factorization of 76702

Prime Factorization of 76712

Now multiplying the highest exponent prime factors to calculate the LCM of 76702 and 76712.

LCM(76702,76712) = 2³ × 38351¹ × 43¹ × 223¹
LCM(76702,76712) = 2941981912