What is the Least Common Multiple of 96270 and 96274?

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 96270 and 96274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96270 and 96274, than apply into the LCM equation.

GCF(96270,96274) = 2
LCM(96270,96274) = ( 96270 × 96274) / 2
LCM(96270,96274) = 9268297980 / 2
LCM(96270,96274) = 4634148990

Least Common Multiple (LCM) of 96270 and 96274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96270 and 96274. First we will calculate the prime factors of 96270 and 96274.

Prime Factorization of 96270

Prime Factorization of 96274

Now multiplying the highest exponent prime factors to calculate the LCM of 96270 and 96274.

LCM(96270,96274) = 2¹ × 3¹ × 5¹ × 3209¹ × 37¹ × 1301¹
LCM(96270,96274) = 4634148990