What is the Least Common Multiple of 57754 and 57769?

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 57754 and 57769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57754 and 57769, than apply into the LCM equation.

GCF(57754,57769) = 1
LCM(57754,57769) = ( 57754 × 57769) / 1
LCM(57754,57769) = 3336390826 / 1
LCM(57754,57769) = 3336390826

Least Common Multiple (LCM) of 57754 and 57769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57754 and 57769. First we will calculate the prime factors of 57754 and 57769.

Prime Factorization of 57754

Prime Factorization of 57769

Now multiplying the highest exponent prime factors to calculate the LCM of 57754 and 57769.

LCM(57754,57769) = 2¹ × 67¹ × 431¹ × 41¹ × 1409¹
LCM(57754,57769) = 3336390826