What is the Least Common Multiple of 32462 and 32470?

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 32462 and 32470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32462 and 32470, than apply into the LCM equation.

GCF(32462,32470) = 2
LCM(32462,32470) = ( 32462 × 32470) / 2
LCM(32462,32470) = 1054041140 / 2
LCM(32462,32470) = 527020570

Least Common Multiple (LCM) of 32462 and 32470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32462 and 32470. First we will calculate the prime factors of 32462 and 32470.

Prime Factorization of 32462

Prime Factorization of 32470

Now multiplying the highest exponent prime factors to calculate the LCM of 32462 and 32470.

LCM(32462,32470) = 2¹ × 16231¹ × 5¹ × 17¹ × 191¹
LCM(32462,32470) = 527020570