What is the Least Common Multiple of 61254 and 61264?

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 61254 and 61264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61254 and 61264, than apply into the LCM equation.

GCF(61254,61264) = 2
LCM(61254,61264) = ( 61254 × 61264) / 2
LCM(61254,61264) = 3752665056 / 2
LCM(61254,61264) = 1876332528

Least Common Multiple (LCM) of 61254 and 61264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61254 and 61264. First we will calculate the prime factors of 61254 and 61264.

Prime Factorization of 61254

Prime Factorization of 61264

Now multiplying the highest exponent prime factors to calculate the LCM of 61254 and 61264.

LCM(61254,61264) = 2⁴ × 3² × 41¹ × 83¹ × 7¹ × 547¹
LCM(61254,61264) = 1876332528