What is the Least Common Multiple of 61746 and 61754?

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 61746 and 61754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61746 and 61754, than apply into the LCM equation.

GCF(61746,61754) = 2
LCM(61746,61754) = ( 61746 × 61754) / 2
LCM(61746,61754) = 3813062484 / 2
LCM(61746,61754) = 1906531242

Least Common Multiple (LCM) of 61746 and 61754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61746 and 61754. First we will calculate the prime factors of 61746 and 61754.

Prime Factorization of 61746

Prime Factorization of 61754

Now multiplying the highest exponent prime factors to calculate the LCM of 61746 and 61754.

LCM(61746,61754) = 2¹ × 3¹ × 41¹ × 251¹ × 7¹ × 11¹ × 401¹
LCM(61746,61754) = 1906531242