What is the Least Common Multiple of 84656 and 84674?

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 84656 and 84674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84656 and 84674, than apply into the LCM equation.

GCF(84656,84674) = 2
LCM(84656,84674) = ( 84656 × 84674) / 2
LCM(84656,84674) = 7168162144 / 2
LCM(84656,84674) = 3584081072

Least Common Multiple (LCM) of 84656 and 84674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84656 and 84674. First we will calculate the prime factors of 84656 and 84674.

Prime Factorization of 84656

Prime Factorization of 84674

Now multiplying the highest exponent prime factors to calculate the LCM of 84656 and 84674.

LCM(84656,84674) = 2⁴ × 11¹ × 13¹ × 37¹ × 42337¹
LCM(84656,84674) = 3584081072