What is the Least Common Multiple of 97540 and 97544?

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 97540 and 97544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97540 and 97544, than apply into the LCM equation.

GCF(97540,97544) = 4
LCM(97540,97544) = ( 97540 × 97544) / 4
LCM(97540,97544) = 9514441760 / 4
LCM(97540,97544) = 2378610440

Least Common Multiple (LCM) of 97540 and 97544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97540 and 97544. First we will calculate the prime factors of 97540 and 97544.

Prime Factorization of 97540

Prime Factorization of 97544

Now multiplying the highest exponent prime factors to calculate the LCM of 97540 and 97544.

LCM(97540,97544) = 2³ × 5¹ × 4877¹ × 89¹ × 137¹
LCM(97540,97544) = 2378610440