What is the Least Common Multiple of 78465 and 78470?

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 78465 and 78470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78465 and 78470, than apply into the LCM equation.

GCF(78465,78470) = 5
LCM(78465,78470) = ( 78465 × 78470) / 5
LCM(78465,78470) = 6157148550 / 5
LCM(78465,78470) = 1231429710

Least Common Multiple (LCM) of 78465 and 78470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78465 and 78470. First we will calculate the prime factors of 78465 and 78470.

Prime Factorization of 78465

Prime Factorization of 78470

Now multiplying the highest exponent prime factors to calculate the LCM of 78465 and 78470.

LCM(78465,78470) = 3¹ × 5¹ × 5231¹ × 2¹ × 7¹ × 19¹ × 59¹
LCM(78465,78470) = 1231429710