What is the Least Common Multiple of 56406 and 56423?

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 56406 and 56423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56406 and 56423, than apply into the LCM equation.

GCF(56406,56423) = 17
LCM(56406,56423) = ( 56406 × 56423) / 17
LCM(56406,56423) = 3182595738 / 17
LCM(56406,56423) = 187211514

Least Common Multiple (LCM) of 56406 and 56423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56406 and 56423. First we will calculate the prime factors of 56406 and 56423.

Prime Factorization of 56406

Prime Factorization of 56423

Now multiplying the highest exponent prime factors to calculate the LCM of 56406 and 56423.

LCM(56406,56423) = 2¹ × 3¹ × 7¹ × 17¹ × 79¹ × 3319¹
LCM(56406,56423) = 187211514