What is the Least Common Multiple of 97448 and 97462?

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 97448 and 97462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97448 and 97462, than apply into the LCM equation.

GCF(97448,97462) = 2
LCM(97448,97462) = ( 97448 × 97462) / 2
LCM(97448,97462) = 9497476976 / 2
LCM(97448,97462) = 4748738488

Least Common Multiple (LCM) of 97448 and 97462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97448 and 97462. First we will calculate the prime factors of 97448 and 97462.

Prime Factorization of 97448

Prime Factorization of 97462

Now multiplying the highest exponent prime factors to calculate the LCM of 97448 and 97462.

LCM(97448,97462) = 2³ × 13¹ × 937¹ × 48731¹
LCM(97448,97462) = 4748738488