What is the Least Common Multiple of 56794 and 56814?

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 56794 and 56814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56794 and 56814, than apply into the LCM equation.

GCF(56794,56814) = 2
LCM(56794,56814) = ( 56794 × 56814) / 2
LCM(56794,56814) = 3226694316 / 2
LCM(56794,56814) = 1613347158

Least Common Multiple (LCM) of 56794 and 56814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56794 and 56814. First we will calculate the prime factors of 56794 and 56814.

Prime Factorization of 56794

Prime Factorization of 56814

Now multiplying the highest exponent prime factors to calculate the LCM of 56794 and 56814.

LCM(56794,56814) = 2¹ × 73¹ × 389¹ × 3¹ × 17¹ × 557¹
LCM(56794,56814) = 1613347158