What is the Least Common Multiple of 61470 and 61485?

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 61470 and 61485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61470 and 61485, than apply into the LCM equation.

GCF(61470,61485) = 15
LCM(61470,61485) = ( 61470 × 61485) / 15
LCM(61470,61485) = 3779482950 / 15
LCM(61470,61485) = 251965530

Least Common Multiple (LCM) of 61470 and 61485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61470 and 61485. First we will calculate the prime factors of 61470 and 61485.

Prime Factorization of 61470

Prime Factorization of 61485

Now multiplying the highest exponent prime factors to calculate the LCM of 61470 and 61485.

LCM(61470,61485) = 2¹ × 3² × 5¹ × 683¹ × 4099¹
LCM(61470,61485) = 251965530