What is the Least Common Multiple of 96274 and 96280?

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 96274 and 96280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96274 and 96280, than apply into the LCM equation.

GCF(96274,96280) = 2
LCM(96274,96280) = ( 96274 × 96280) / 2
LCM(96274,96280) = 9269260720 / 2
LCM(96274,96280) = 4634630360

Least Common Multiple (LCM) of 96274 and 96280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96274 and 96280. First we will calculate the prime factors of 96274 and 96280.

Prime Factorization of 96274

Prime Factorization of 96280

Now multiplying the highest exponent prime factors to calculate the LCM of 96274 and 96280.

LCM(96274,96280) = 2³ × 37¹ × 1301¹ × 5¹ × 29¹ × 83¹
LCM(96274,96280) = 4634630360