What is the Least Common Multiple of 97258 and 97265?

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 97258 and 97265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97258 and 97265, than apply into the LCM equation.

GCF(97258,97265) = 7
LCM(97258,97265) = ( 97258 × 97265) / 7
LCM(97258,97265) = 9459799370 / 7
LCM(97258,97265) = 1351399910

Least Common Multiple (LCM) of 97258 and 97265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97258 and 97265. First we will calculate the prime factors of 97258 and 97265.

Prime Factorization of 97258

Prime Factorization of 97265

Now multiplying the highest exponent prime factors to calculate the LCM of 97258 and 97265.

LCM(97258,97265) = 2¹ × 7² × 6947¹ × 5¹ × 397¹
LCM(97258,97265) = 1351399910