What is the Least Common Multiple of 79590 and 79610?

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 79590 and 79610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79590 and 79610, than apply into the LCM equation.

GCF(79590,79610) = 10
LCM(79590,79610) = ( 79590 × 79610) / 10
LCM(79590,79610) = 6336159900 / 10
LCM(79590,79610) = 633615990

Least Common Multiple (LCM) of 79590 and 79610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79590 and 79610. First we will calculate the prime factors of 79590 and 79610.

Prime Factorization of 79590

Prime Factorization of 79610

Now multiplying the highest exponent prime factors to calculate the LCM of 79590 and 79610.

LCM(79590,79610) = 2¹ × 3¹ × 5¹ × 7¹ × 379¹ × 19¹ × 419¹
LCM(79590,79610) = 633615990