What is the Least Common Multiple of 78460 and 78465?

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 78460 and 78465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78460 and 78465, than apply into the LCM equation.

GCF(78460,78465) = 5
LCM(78460,78465) = ( 78460 × 78465) / 5
LCM(78460,78465) = 6156363900 / 5
LCM(78460,78465) = 1231272780

Least Common Multiple (LCM) of 78460 and 78465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78460 and 78465. First we will calculate the prime factors of 78460 and 78465.

Prime Factorization of 78460

Prime Factorization of 78465

Now multiplying the highest exponent prime factors to calculate the LCM of 78460 and 78465.

LCM(78460,78465) = 2² × 5¹ × 3923¹ × 3¹ × 5231¹
LCM(78460,78465) = 1231272780