What is the Least Common Multiple of 97024 and 97041?

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 97024 and 97041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97024 and 97041, than apply into the LCM equation.

GCF(97024,97041) = 1
LCM(97024,97041) = ( 97024 × 97041) / 1
LCM(97024,97041) = 9415305984 / 1
LCM(97024,97041) = 9415305984

Least Common Multiple (LCM) of 97024 and 97041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97024 and 97041. First we will calculate the prime factors of 97024 and 97041.

Prime Factorization of 97024

Prime Factorization of 97041

Now multiplying the highest exponent prime factors to calculate the LCM of 97024 and 97041.

LCM(97024,97041) = 2⁸ × 379¹ × 3¹ × 7¹ × 4621¹
LCM(97024,97041) = 9415305984