What is the Least Common Multiple of 97448 and 97468?

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 97468 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 97468, than apply into the LCM equation.

GCF(97448,97468) = 4
LCM(97448,97468) = ( 97448 × 97468) / 4
LCM(97448,97468) = 9498061664 / 4
LCM(97448,97468) = 2374515416

Least Common Multiple (LCM) of 97448 and 97468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97448 and 97468. First we will calculate the prime factors of 97448 and 97468.

Prime Factorization of 97448

Prime Factorization of 97468

Now multiplying the highest exponent prime factors to calculate the LCM of 97448 and 97468.

LCM(97448,97468) = 2³ × 13¹ × 937¹ × 7¹ × 59²
LCM(97448,97468) = 2374515416