What is the Least Common Multiple of 56746 and 56752?

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 56746 and 56752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56746 and 56752, than apply into the LCM equation.

GCF(56746,56752) = 2
LCM(56746,56752) = ( 56746 × 56752) / 2
LCM(56746,56752) = 3220448992 / 2
LCM(56746,56752) = 1610224496

Least Common Multiple (LCM) of 56746 and 56752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56746 and 56752. First we will calculate the prime factors of 56746 and 56752.

Prime Factorization of 56746

Prime Factorization of 56752

Now multiplying the highest exponent prime factors to calculate the LCM of 56746 and 56752.

LCM(56746,56752) = 2⁴ × 17¹ × 1669¹ × 3547¹
LCM(56746,56752) = 1610224496