What is the Least Common Multiple of 78045 and 78056?

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 78045 and 78056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78045 and 78056, than apply into the LCM equation.

GCF(78045,78056) = 11
LCM(78045,78056) = ( 78045 × 78056) / 11
LCM(78045,78056) = 6091880520 / 11
LCM(78045,78056) = 553807320

Least Common Multiple (LCM) of 78045 and 78056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78045 and 78056. First we will calculate the prime factors of 78045 and 78056.

Prime Factorization of 78045

Prime Factorization of 78056

Now multiplying the highest exponent prime factors to calculate the LCM of 78045 and 78056.

LCM(78045,78056) = 3¹ × 5¹ × 11² × 43¹ × 2³ × 887¹
LCM(78045,78056) = 553807320