What is the Least Common Multiple of 17415 and 17420?

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 17415 and 17420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17415 and 17420, than apply into the LCM equation.

GCF(17415,17420) = 5
LCM(17415,17420) = ( 17415 × 17420) / 5
LCM(17415,17420) = 303369300 / 5
LCM(17415,17420) = 60673860

Least Common Multiple (LCM) of 17415 and 17420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17415 and 17420. First we will calculate the prime factors of 17415 and 17420.

Prime Factorization of 17415

Prime Factorization of 17420

Now multiplying the highest exponent prime factors to calculate the LCM of 17415 and 17420.

LCM(17415,17420) = 3⁴ × 5¹ × 43¹ × 2² × 13¹ × 67¹
LCM(17415,17420) = 60673860