What is the Least Common Multiple of 56419 and 56438?

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 56419 and 56438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56419 and 56438, than apply into the LCM equation.

GCF(56419,56438) = 1
LCM(56419,56438) = ( 56419 × 56438) / 1
LCM(56419,56438) = 3184175522 / 1
LCM(56419,56438) = 3184175522

Least Common Multiple (LCM) of 56419 and 56438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56419 and 56438. First we will calculate the prime factors of 56419 and 56438.

Prime Factorization of 56419

Prime Factorization of 56438

Now multiplying the highest exponent prime factors to calculate the LCM of 56419 and 56438.

LCM(56419,56438) = 11¹ × 23¹ × 223¹ × 2¹ × 28219¹
LCM(56419,56438) = 3184175522