What is the Least Common Multiple of 10470 and 10475?

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 10470 and 10475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10470 and 10475, than apply into the LCM equation.

GCF(10470,10475) = 5
LCM(10470,10475) = ( 10470 × 10475) / 5
LCM(10470,10475) = 109673250 / 5
LCM(10470,10475) = 21934650

Least Common Multiple (LCM) of 10470 and 10475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10470 and 10475. First we will calculate the prime factors of 10470 and 10475.

Prime Factorization of 10470

Prime Factorization of 10475

Now multiplying the highest exponent prime factors to calculate the LCM of 10470 and 10475.

LCM(10470,10475) = 2¹ × 3¹ × 5² × 349¹ × 419¹
LCM(10470,10475) = 21934650