What is the Least Common Multiple of 32470 and 32480?

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 32470 and 32480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32470 and 32480, than apply into the LCM equation.

GCF(32470,32480) = 10
LCM(32470,32480) = ( 32470 × 32480) / 10
LCM(32470,32480) = 1054625600 / 10
LCM(32470,32480) = 105462560

Least Common Multiple (LCM) of 32470 and 32480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32470 and 32480. First we will calculate the prime factors of 32470 and 32480.

Prime Factorization of 32470

Prime Factorization of 32480

Now multiplying the highest exponent prime factors to calculate the LCM of 32470 and 32480.

LCM(32470,32480) = 2⁵ × 5¹ × 17¹ × 191¹ × 7¹ × 29¹
LCM(32470,32480) = 105462560