What is the Least Common Multiple of 12056 and 12062?

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 12056 and 12062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12056 and 12062, than apply into the LCM equation.

GCF(12056,12062) = 2
LCM(12056,12062) = ( 12056 × 12062) / 2
LCM(12056,12062) = 145419472 / 2
LCM(12056,12062) = 72709736

Least Common Multiple (LCM) of 12056 and 12062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12056 and 12062. First we will calculate the prime factors of 12056 and 12062.

Prime Factorization of 12056

Prime Factorization of 12062

Now multiplying the highest exponent prime factors to calculate the LCM of 12056 and 12062.

LCM(12056,12062) = 2³ × 11¹ × 137¹ × 37¹ × 163¹
LCM(12056,12062) = 72709736