What is the Least Common Multiple of 97460 and 97474?

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 97460 and 97474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97460 and 97474, than apply into the LCM equation.

GCF(97460,97474) = 2
LCM(97460,97474) = ( 97460 × 97474) / 2
LCM(97460,97474) = 9499816040 / 2
LCM(97460,97474) = 4749908020

Least Common Multiple (LCM) of 97460 and 97474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97460 and 97474. First we will calculate the prime factors of 97460 and 97474.

Prime Factorization of 97460

Prime Factorization of 97474

Now multiplying the highest exponent prime factors to calculate the LCM of 97460 and 97474.

LCM(97460,97474) = 2² × 5¹ × 11¹ × 443¹ × 13¹ × 23¹ × 163¹
LCM(97460,97474) = 4749908020