What is the Least Common Multiple of 56234 and 56247?

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 56234 and 56247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56234 and 56247, than apply into the LCM equation.

GCF(56234,56247) = 1
LCM(56234,56247) = ( 56234 × 56247) / 1
LCM(56234,56247) = 3162993798 / 1
LCM(56234,56247) = 3162993798

Least Common Multiple (LCM) of 56234 and 56247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56234 and 56247. First we will calculate the prime factors of 56234 and 56247.

Prime Factorization of 56234

Prime Factorization of 56247

Now multiplying the highest exponent prime factors to calculate the LCM of 56234 and 56247.

LCM(56234,56247) = 2¹ × 31¹ × 907¹ × 3¹ × 18749¹
LCM(56234,56247) = 3162993798