What is the Least Common Multiple of 97450 and 97466?

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 97466 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 97466, than apply into the LCM equation.

GCF(97450,97466) = 2
LCM(97450,97466) = ( 97450 × 97466) / 2
LCM(97450,97466) = 9498061700 / 2
LCM(97450,97466) = 4749030850

Least Common Multiple (LCM) of 97450 and 97466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97450 and 97466. First we will calculate the prime factors of 97450 and 97466.

Prime Factorization of 97450

Prime Factorization of 97466

Now multiplying the highest exponent prime factors to calculate the LCM of 97450 and 97466.

LCM(97450,97466) = 2¹ × 5² × 1949¹ × 48733¹
LCM(97450,97466) = 4749030850