What is the Least Common Multiple of 56438 and 56450?

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 56438 and 56450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56438 and 56450, than apply into the LCM equation.

GCF(56438,56450) = 2
LCM(56438,56450) = ( 56438 × 56450) / 2
LCM(56438,56450) = 3185925100 / 2
LCM(56438,56450) = 1592962550

Least Common Multiple (LCM) of 56438 and 56450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56438 and 56450. First we will calculate the prime factors of 56438 and 56450.

Prime Factorization of 56438

Prime Factorization of 56450

Now multiplying the highest exponent prime factors to calculate the LCM of 56438 and 56450.

LCM(56438,56450) = 2¹ × 28219¹ × 5² × 1129¹
LCM(56438,56450) = 1592962550