What is the Least Common Multiple of 77260 and 77274?

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 77260 and 77274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77260 and 77274, than apply into the LCM equation.

GCF(77260,77274) = 2
LCM(77260,77274) = ( 77260 × 77274) / 2
LCM(77260,77274) = 5970189240 / 2
LCM(77260,77274) = 2985094620

Least Common Multiple (LCM) of 77260 and 77274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77260 and 77274. First we will calculate the prime factors of 77260 and 77274.

Prime Factorization of 77260

Prime Factorization of 77274

Now multiplying the highest exponent prime factors to calculate the LCM of 77260 and 77274.

LCM(77260,77274) = 2² × 5¹ × 3863¹ × 3⁶ × 53¹
LCM(77260,77274) = 2985094620