What is the Least Common Multiple of 42680 and 42696?

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 42680 and 42696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42680 and 42696, than apply into the LCM equation.

GCF(42680,42696) = 8
LCM(42680,42696) = ( 42680 × 42696) / 8
LCM(42680,42696) = 1822265280 / 8
LCM(42680,42696) = 227783160

Least Common Multiple (LCM) of 42680 and 42696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42680 and 42696. First we will calculate the prime factors of 42680 and 42696.

Prime Factorization of 42680

Prime Factorization of 42696

Now multiplying the highest exponent prime factors to calculate the LCM of 42680 and 42696.

LCM(42680,42696) = 2³ × 5¹ × 11¹ × 97¹ × 3² × 593¹
LCM(42680,42696) = 227783160