What is the Least Common Multiple of 83720 and 83738?

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 83720 and 83738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83720 and 83738, than apply into the LCM equation.

GCF(83720,83738) = 2
LCM(83720,83738) = ( 83720 × 83738) / 2
LCM(83720,83738) = 7010545360 / 2
LCM(83720,83738) = 3505272680

Least Common Multiple (LCM) of 83720 and 83738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83720 and 83738. First we will calculate the prime factors of 83720 and 83738.

Prime Factorization of 83720

Prime Factorization of 83738

Now multiplying the highest exponent prime factors to calculate the LCM of 83720 and 83738.

LCM(83720,83738) = 2³ × 5¹ × 7¹ × 13¹ × 23¹ × 149¹ × 281¹
LCM(83720,83738) = 3505272680