What is the Least Common Multiple of 61754 and 61774?

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 61754 and 61774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61754 and 61774, than apply into the LCM equation.

GCF(61754,61774) = 2
LCM(61754,61774) = ( 61754 × 61774) / 2
LCM(61754,61774) = 3814791596 / 2
LCM(61754,61774) = 1907395798

Least Common Multiple (LCM) of 61754 and 61774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61754 and 61774. First we will calculate the prime factors of 61754 and 61774.

Prime Factorization of 61754

Prime Factorization of 61774

Now multiplying the highest exponent prime factors to calculate the LCM of 61754 and 61774.

LCM(61754,61774) = 2¹ × 7¹ × 11¹ × 401¹ × 67¹ × 461¹
LCM(61754,61774) = 1907395798