What is the Least Common Multiple of 78670 and 78685?

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 78685 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 78685, than apply into the LCM equation.

GCF(78670,78685) = 5
LCM(78670,78685) = ( 78670 × 78685) / 5
LCM(78670,78685) = 6190148950 / 5
LCM(78670,78685) = 1238029790

Least Common Multiple (LCM) of 78670 and 78685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78670 and 78685. First we will calculate the prime factors of 78670 and 78685.

Prime Factorization of 78670

Prime Factorization of 78685

Now multiplying the highest exponent prime factors to calculate the LCM of 78670 and 78685.

LCM(78670,78685) = 2¹ × 5¹ × 7867¹ × 15737¹
LCM(78670,78685) = 1238029790