What is the Least Common Multiple of 97504 and 97514?

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 97504 and 97514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97504 and 97514, than apply into the LCM equation.

GCF(97504,97514) = 2
LCM(97504,97514) = ( 97504 × 97514) / 2
LCM(97504,97514) = 9508005056 / 2
LCM(97504,97514) = 4754002528

Least Common Multiple (LCM) of 97504 and 97514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97504 and 97514. First we will calculate the prime factors of 97504 and 97514.

Prime Factorization of 97504

Prime Factorization of 97514

Now multiplying the highest exponent prime factors to calculate the LCM of 97504 and 97514.

LCM(97504,97514) = 2⁵ × 11¹ × 277¹ × 48757¹
LCM(97504,97514) = 4754002528