What is the Least Common Multiple of 97240 and 97250?

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 97240 and 97250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97240 and 97250, than apply into the LCM equation.

GCF(97240,97250) = 10
LCM(97240,97250) = ( 97240 × 97250) / 10
LCM(97240,97250) = 9456590000 / 10
LCM(97240,97250) = 945659000

Least Common Multiple (LCM) of 97240 and 97250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97240 and 97250. First we will calculate the prime factors of 97240 and 97250.

Prime Factorization of 97240

Prime Factorization of 97250

Now multiplying the highest exponent prime factors to calculate the LCM of 97240 and 97250.

LCM(97240,97250) = 2³ × 5³ × 11¹ × 13¹ × 17¹ × 389¹
LCM(97240,97250) = 945659000