What is the Least Common Multiple of 61376 and 61381?

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 61376 and 61381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61376 and 61381, than apply into the LCM equation.

GCF(61376,61381) = 1
LCM(61376,61381) = ( 61376 × 61381) / 1
LCM(61376,61381) = 3767320256 / 1
LCM(61376,61381) = 3767320256

Least Common Multiple (LCM) of 61376 and 61381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61376 and 61381. First we will calculate the prime factors of 61376 and 61381.

Prime Factorization of 61376

Prime Factorization of 61381

Now multiplying the highest exponent prime factors to calculate the LCM of 61376 and 61381.

LCM(61376,61381) = 2⁶ × 7¹ × 137¹ × 61381¹
LCM(61376,61381) = 3767320256