What is the Least Common Multiple of 97230 and 97240?

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 97230 and 97240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97230 and 97240, than apply into the LCM equation.

GCF(97230,97240) = 10
LCM(97230,97240) = ( 97230 × 97240) / 10
LCM(97230,97240) = 9454645200 / 10
LCM(97230,97240) = 945464520

Least Common Multiple (LCM) of 97230 and 97240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97230 and 97240. First we will calculate the prime factors of 97230 and 97240.

Prime Factorization of 97230

Prime Factorization of 97240

Now multiplying the highest exponent prime factors to calculate the LCM of 97230 and 97240.

LCM(97230,97240) = 2³ × 3¹ × 5¹ × 7¹ × 463¹ × 11¹ × 13¹ × 17¹
LCM(97230,97240) = 945464520