What is the Least Common Multiple of 79030 and 79045?

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 79030 and 79045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79030 and 79045, than apply into the LCM equation.

GCF(79030,79045) = 5
LCM(79030,79045) = ( 79030 × 79045) / 5
LCM(79030,79045) = 6246926350 / 5
LCM(79030,79045) = 1249385270

Least Common Multiple (LCM) of 79030 and 79045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79030 and 79045. First we will calculate the prime factors of 79030 and 79045.

Prime Factorization of 79030

Prime Factorization of 79045

Now multiplying the highest exponent prime factors to calculate the LCM of 79030 and 79045.

LCM(79030,79045) = 2¹ × 5¹ × 7¹ × 1129¹ × 15809¹
LCM(79030,79045) = 1249385270