What is the Least Common Multiple of 97410 and 97417?

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 97410 and 97417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97410 and 97417, than apply into the LCM equation.

GCF(97410,97417) = 1
LCM(97410,97417) = ( 97410 × 97417) / 1
LCM(97410,97417) = 9489389970 / 1
LCM(97410,97417) = 9489389970

Least Common Multiple (LCM) of 97410 and 97417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97410 and 97417. First we will calculate the prime factors of 97410 and 97417.

Prime Factorization of 97410

Prime Factorization of 97417

Now multiplying the highest exponent prime factors to calculate the LCM of 97410 and 97417.

LCM(97410,97417) = 2¹ × 3¹ × 5¹ × 17¹ × 191¹ × 61¹ × 1597¹
LCM(97410,97417) = 9489389970