What is the Least Common Multiple of 78670 and 78682?

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 78670 and 78682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78670 and 78682, than apply into the LCM equation.

GCF(78670,78682) = 2
LCM(78670,78682) = ( 78670 × 78682) / 2
LCM(78670,78682) = 6189912940 / 2
LCM(78670,78682) = 3094956470

Least Common Multiple (LCM) of 78670 and 78682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78670 and 78682. First we will calculate the prime factors of 78670 and 78682.

Prime Factorization of 78670

Prime Factorization of 78682

Now multiplying the highest exponent prime factors to calculate the LCM of 78670 and 78682.

LCM(78670,78682) = 2¹ × 5¹ × 7867¹ × 39341¹
LCM(78670,78682) = 3094956470