What is the Least Common Multiple of 97210 and 97224?

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 97210 and 97224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97210 and 97224, than apply into the LCM equation.

GCF(97210,97224) = 2
LCM(97210,97224) = ( 97210 × 97224) / 2
LCM(97210,97224) = 9451145040 / 2
LCM(97210,97224) = 4725572520

Least Common Multiple (LCM) of 97210 and 97224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97210 and 97224. First we will calculate the prime factors of 97210 and 97224.

Prime Factorization of 97210

Prime Factorization of 97224

Now multiplying the highest exponent prime factors to calculate the LCM of 97210 and 97224.

LCM(97210,97224) = 2³ × 5¹ × 9721¹ × 3¹ × 4051¹
LCM(97210,97224) = 4725572520