What is the Least Common Multiple of 79015 and 79030?

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 79015 and 79030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79015 and 79030, than apply into the LCM equation.

GCF(79015,79030) = 5
LCM(79015,79030) = ( 79015 × 79030) / 5
LCM(79015,79030) = 6244555450 / 5
LCM(79015,79030) = 1248911090

Least Common Multiple (LCM) of 79015 and 79030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79015 and 79030. First we will calculate the prime factors of 79015 and 79030.

Prime Factorization of 79015

Prime Factorization of 79030

Now multiplying the highest exponent prime factors to calculate the LCM of 79015 and 79030.

LCM(79015,79030) = 5¹ × 15803¹ × 2¹ × 7¹ × 1129¹
LCM(79015,79030) = 1248911090