What is the Least Common Multiple of 97450 and 97465?

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 97450 and 97465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97450 and 97465, than apply into the LCM equation.

GCF(97450,97465) = 5
LCM(97450,97465) = ( 97450 × 97465) / 5
LCM(97450,97465) = 9497964250 / 5
LCM(97450,97465) = 1899592850

Least Common Multiple (LCM) of 97450 and 97465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97450 and 97465. First we will calculate the prime factors of 97450 and 97465.

Prime Factorization of 97450

Prime Factorization of 97465

Now multiplying the highest exponent prime factors to calculate the LCM of 97450 and 97465.

LCM(97450,97465) = 2¹ × 5² × 1949¹ × 101¹ × 193¹
LCM(97450,97465) = 1899592850