What is the Least Common Multiple of 7046 and 7064?

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 7046 and 7064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7046 and 7064, than apply into the LCM equation.

GCF(7046,7064) = 2
LCM(7046,7064) = ( 7046 × 7064) / 2
LCM(7046,7064) = 49772944 / 2
LCM(7046,7064) = 24886472

Least Common Multiple (LCM) of 7046 and 7064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7046 and 7064. First we will calculate the prime factors of 7046 and 7064.

Prime Factorization of 7046

Prime Factorization of 7064

Now multiplying the highest exponent prime factors to calculate the LCM of 7046 and 7064.

LCM(7046,7064) = 2³ × 13¹ × 271¹ × 883¹
LCM(7046,7064) = 24886472