What is the Least Common Multiple of 35442 and 35461?

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 35442 and 35461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35442 and 35461, than apply into the LCM equation.

GCF(35442,35461) = 1
LCM(35442,35461) = ( 35442 × 35461) / 1
LCM(35442,35461) = 1256808762 / 1
LCM(35442,35461) = 1256808762

Least Common Multiple (LCM) of 35442 and 35461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35442 and 35461. First we will calculate the prime factors of 35442 and 35461.

Prime Factorization of 35442

Prime Factorization of 35461

Now multiplying the highest exponent prime factors to calculate the LCM of 35442 and 35461.

LCM(35442,35461) = 2¹ × 3² × 11¹ × 179¹ × 35461¹
LCM(35442,35461) = 1256808762