What is the Least Common Multiple of 52458 and 52470?

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 52458 and 52470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52458 and 52470, than apply into the LCM equation.

GCF(52458,52470) = 6
LCM(52458,52470) = ( 52458 × 52470) / 6
LCM(52458,52470) = 2752471260 / 6
LCM(52458,52470) = 458745210

Least Common Multiple (LCM) of 52458 and 52470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52458 and 52470. First we will calculate the prime factors of 52458 and 52470.

Prime Factorization of 52458

Prime Factorization of 52470

Now multiplying the highest exponent prime factors to calculate the LCM of 52458 and 52470.

LCM(52458,52470) = 2¹ × 3² × 7¹ × 1249¹ × 5¹ × 11¹ × 53¹
LCM(52458,52470) = 458745210