What is the Least Common Multiple of 78030 and 78050?

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 78030 and 78050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78030 and 78050, than apply into the LCM equation.

GCF(78030,78050) = 10
LCM(78030,78050) = ( 78030 × 78050) / 10
LCM(78030,78050) = 6090241500 / 10
LCM(78030,78050) = 609024150

Least Common Multiple (LCM) of 78030 and 78050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78030 and 78050. First we will calculate the prime factors of 78030 and 78050.

Prime Factorization of 78030

Prime Factorization of 78050

Now multiplying the highest exponent prime factors to calculate the LCM of 78030 and 78050.

LCM(78030,78050) = 2¹ × 3³ × 5² × 17² × 7¹ × 223¹
LCM(78030,78050) = 609024150