What is the Least Common Multiple of 35042 and 35062?

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 35042 and 35062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35042 and 35062, than apply into the LCM equation.

GCF(35042,35062) = 2
LCM(35042,35062) = ( 35042 × 35062) / 2
LCM(35042,35062) = 1228642604 / 2
LCM(35042,35062) = 614321302

Least Common Multiple (LCM) of 35042 and 35062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35042 and 35062. First we will calculate the prime factors of 35042 and 35062.

Prime Factorization of 35042

Prime Factorization of 35062

Now multiplying the highest exponent prime factors to calculate the LCM of 35042 and 35062.

LCM(35042,35062) = 2¹ × 7¹ × 2503¹ × 47¹ × 373¹
LCM(35042,35062) = 614321302