What is the Least Common Multiple of 97250 and 97270?

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 97250 and 97270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97250 and 97270, than apply into the LCM equation.

GCF(97250,97270) = 10
LCM(97250,97270) = ( 97250 × 97270) / 10
LCM(97250,97270) = 9459507500 / 10
LCM(97250,97270) = 945950750

Least Common Multiple (LCM) of 97250 and 97270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97250 and 97270. First we will calculate the prime factors of 97250 and 97270.

Prime Factorization of 97250

Prime Factorization of 97270

Now multiplying the highest exponent prime factors to calculate the LCM of 97250 and 97270.

LCM(97250,97270) = 2¹ × 5³ × 389¹ × 71¹ × 137¹
LCM(97250,97270) = 945950750