What is the Least Common Multiple of 38696 and 38706?

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 38696 and 38706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38696 and 38706, than apply into the LCM equation.

GCF(38696,38706) = 2
LCM(38696,38706) = ( 38696 × 38706) / 2
LCM(38696,38706) = 1497767376 / 2
LCM(38696,38706) = 748883688

Least Common Multiple (LCM) of 38696 and 38706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38696 and 38706. First we will calculate the prime factors of 38696 and 38706.

Prime Factorization of 38696

Prime Factorization of 38706

Now multiplying the highest exponent prime factors to calculate the LCM of 38696 and 38706.

LCM(38696,38706) = 2³ × 7¹ × 691¹ × 3¹ × 6451¹
LCM(38696,38706) = 748883688