What is the Least Common Multiple of 97514 and 97526?

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 97514 and 97526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97514 and 97526, than apply into the LCM equation.

GCF(97514,97526) = 2
LCM(97514,97526) = ( 97514 × 97526) / 2
LCM(97514,97526) = 9510150364 / 2
LCM(97514,97526) = 4755075182

Least Common Multiple (LCM) of 97514 and 97526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97514 and 97526. First we will calculate the prime factors of 97514 and 97526.

Prime Factorization of 97514

Prime Factorization of 97526

Now multiplying the highest exponent prime factors to calculate the LCM of 97514 and 97526.

LCM(97514,97526) = 2¹ × 48757¹ × 11² × 13¹ × 31¹
LCM(97514,97526) = 4755075182