What is the Least Common Multiple of 78045 and 78058?

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 78058 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 78058, than apply into the LCM equation.

GCF(78045,78058) = 1
LCM(78045,78058) = ( 78045 × 78058) / 1
LCM(78045,78058) = 6092036610 / 1
LCM(78045,78058) = 6092036610

Least Common Multiple (LCM) of 78045 and 78058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78045 and 78058. First we will calculate the prime factors of 78045 and 78058.

Prime Factorization of 78045

Prime Factorization of 78058

Now multiplying the highest exponent prime factors to calculate the LCM of 78045 and 78058.

LCM(78045,78058) = 3¹ × 5¹ × 11² × 43¹ × 2¹ × 31¹ × 1259¹
LCM(78045,78058) = 6092036610