What is the Least Common Multiple of 38702 and 38712?

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 38702 and 38712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38702 and 38712, than apply into the LCM equation.

GCF(38702,38712) = 2
LCM(38702,38712) = ( 38702 × 38712) / 2
LCM(38702,38712) = 1498231824 / 2
LCM(38702,38712) = 749115912

Least Common Multiple (LCM) of 38702 and 38712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38702 and 38712. First we will calculate the prime factors of 38702 and 38712.

Prime Factorization of 38702

Prime Factorization of 38712

Now multiplying the highest exponent prime factors to calculate the LCM of 38702 and 38712.

LCM(38702,38712) = 2³ × 37¹ × 523¹ × 3¹ × 1613¹
LCM(38702,38712) = 749115912