What is the Least Common Multiple of 97251 and 97258?

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 97251 and 97258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97251 and 97258, than apply into the LCM equation.

GCF(97251,97258) = 7
LCM(97251,97258) = ( 97251 × 97258) / 7
LCM(97251,97258) = 9458437758 / 7
LCM(97251,97258) = 1351205394

Least Common Multiple (LCM) of 97251 and 97258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97251 and 97258. First we will calculate the prime factors of 97251 and 97258.

Prime Factorization of 97251

Prime Factorization of 97258

Now multiplying the highest exponent prime factors to calculate the LCM of 97251 and 97258.

LCM(97251,97258) = 3¹ × 7¹ × 11¹ × 421¹ × 2¹ × 6947¹
LCM(97251,97258) = 1351205394