What is the Least Common Multiple of 32410 and 32417?

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 32410 and 32417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32410 and 32417, than apply into the LCM equation.

GCF(32410,32417) = 7
LCM(32410,32417) = ( 32410 × 32417) / 7
LCM(32410,32417) = 1050634970 / 7
LCM(32410,32417) = 150090710

Least Common Multiple (LCM) of 32410 and 32417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32410 and 32417. First we will calculate the prime factors of 32410 and 32417.

Prime Factorization of 32410

Prime Factorization of 32417

Now multiplying the highest exponent prime factors to calculate the LCM of 32410 and 32417.

LCM(32410,32417) = 2¹ × 5¹ × 7¹ × 463¹ × 11¹ × 421¹
LCM(32410,32417) = 150090710