What is the Least Common Multiple of 42296 and 42306?

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 42296 and 42306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42296 and 42306, than apply into the LCM equation.

GCF(42296,42306) = 2
LCM(42296,42306) = ( 42296 × 42306) / 2
LCM(42296,42306) = 1789374576 / 2
LCM(42296,42306) = 894687288

Least Common Multiple (LCM) of 42296 and 42306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42296 and 42306. First we will calculate the prime factors of 42296 and 42306.

Prime Factorization of 42296

Prime Factorization of 42306

Now multiplying the highest exponent prime factors to calculate the LCM of 42296 and 42306.

LCM(42296,42306) = 2³ × 17¹ × 311¹ × 3¹ × 11¹ × 641¹
LCM(42296,42306) = 894687288