What is the Least Common Multiple of 13458 and 13470?

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 13458 and 13470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13458 and 13470, than apply into the LCM equation.

GCF(13458,13470) = 6
LCM(13458,13470) = ( 13458 × 13470) / 6
LCM(13458,13470) = 181279260 / 6
LCM(13458,13470) = 30213210

Least Common Multiple (LCM) of 13458 and 13470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13458 and 13470. First we will calculate the prime factors of 13458 and 13470.

Prime Factorization of 13458

Prime Factorization of 13470

Now multiplying the highest exponent prime factors to calculate the LCM of 13458 and 13470.

LCM(13458,13470) = 2¹ × 3¹ × 2243¹ × 5¹ × 449¹
LCM(13458,13470) = 30213210