What is the Least Common Multiple of 78038 and 78043?

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 78038 and 78043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78038 and 78043, than apply into the LCM equation.

GCF(78038,78043) = 1
LCM(78038,78043) = ( 78038 × 78043) / 1
LCM(78038,78043) = 6090319634 / 1
LCM(78038,78043) = 6090319634

Least Common Multiple (LCM) of 78038 and 78043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78038 and 78043. First we will calculate the prime factors of 78038 and 78043.

Prime Factorization of 78038

Prime Factorization of 78043

Now multiplying the highest exponent prime factors to calculate the LCM of 78038 and 78043.

LCM(78038,78043) = 2¹ × 39019¹ × 7¹ × 11149¹
LCM(78038,78043) = 6090319634