What is the Least Common Multiple of 56214 and 56234?

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 56214 and 56234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56214 and 56234, than apply into the LCM equation.

GCF(56214,56234) = 2
LCM(56214,56234) = ( 56214 × 56234) / 2
LCM(56214,56234) = 3161138076 / 2
LCM(56214,56234) = 1580569038

Least Common Multiple (LCM) of 56214 and 56234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56214 and 56234. First we will calculate the prime factors of 56214 and 56234.

Prime Factorization of 56214

Prime Factorization of 56234

Now multiplying the highest exponent prime factors to calculate the LCM of 56214 and 56234.

LCM(56214,56234) = 2¹ × 3⁴ × 347¹ × 31¹ × 907¹
LCM(56214,56234) = 1580569038