What is the Least Common Multiple of 16461 and 16470?

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 16461 and 16470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16461 and 16470, than apply into the LCM equation.

GCF(16461,16470) = 9
LCM(16461,16470) = ( 16461 × 16470) / 9
LCM(16461,16470) = 271112670 / 9
LCM(16461,16470) = 30123630

Least Common Multiple (LCM) of 16461 and 16470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16461 and 16470. First we will calculate the prime factors of 16461 and 16470.

Prime Factorization of 16461

Prime Factorization of 16470

Now multiplying the highest exponent prime factors to calculate the LCM of 16461 and 16470.

LCM(16461,16470) = 3³ × 31¹ × 59¹ × 2¹ × 5¹ × 61¹
LCM(16461,16470) = 30123630