What is the Least Common Multiple of 78285 and 78295?

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 78285 and 78295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78285 and 78295, than apply into the LCM equation.

GCF(78285,78295) = 5
LCM(78285,78295) = ( 78285 × 78295) / 5
LCM(78285,78295) = 6129324075 / 5
LCM(78285,78295) = 1225864815

Least Common Multiple (LCM) of 78285 and 78295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78285 and 78295. First we will calculate the prime factors of 78285 and 78295.

Prime Factorization of 78285

Prime Factorization of 78295

Now multiplying the highest exponent prime factors to calculate the LCM of 78285 and 78295.

LCM(78285,78295) = 3¹ × 5¹ × 17¹ × 307¹ × 7¹ × 2237¹
LCM(78285,78295) = 1225864815