What is the Least Common Multiple of 69405 and 69410?

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 69405 and 69410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69405 and 69410, than apply into the LCM equation.

GCF(69405,69410) = 5
LCM(69405,69410) = ( 69405 × 69410) / 5
LCM(69405,69410) = 4817401050 / 5
LCM(69405,69410) = 963480210

Least Common Multiple (LCM) of 69405 and 69410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69405 and 69410. First we will calculate the prime factors of 69405 and 69410.

Prime Factorization of 69405

Prime Factorization of 69410

Now multiplying the highest exponent prime factors to calculate the LCM of 69405 and 69410.

LCM(69405,69410) = 3¹ × 5¹ × 7¹ × 661¹ × 2¹ × 11¹ × 631¹
LCM(69405,69410) = 963480210