What is the Least Common Multiple of 59742 and 59754?

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 59742 and 59754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59742 and 59754, than apply into the LCM equation.

GCF(59742,59754) = 6
LCM(59742,59754) = ( 59742 × 59754) / 6
LCM(59742,59754) = 3569823468 / 6
LCM(59742,59754) = 594970578

Least Common Multiple (LCM) of 59742 and 59754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59742 and 59754. First we will calculate the prime factors of 59742 and 59754.

Prime Factorization of 59742

Prime Factorization of 59754

Now multiplying the highest exponent prime factors to calculate the LCM of 59742 and 59754.

LCM(59742,59754) = 2¹ × 3² × 3319¹ × 23¹ × 433¹
LCM(59742,59754) = 594970578