What is the Least Common Multiple of 35350 and 35362?

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 35350 and 35362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35350 and 35362, than apply into the LCM equation.

GCF(35350,35362) = 2
LCM(35350,35362) = ( 35350 × 35362) / 2
LCM(35350,35362) = 1250046700 / 2
LCM(35350,35362) = 625023350

Least Common Multiple (LCM) of 35350 and 35362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35350 and 35362. First we will calculate the prime factors of 35350 and 35362.

Prime Factorization of 35350

Prime Factorization of 35362

Now multiplying the highest exponent prime factors to calculate the LCM of 35350 and 35362.

LCM(35350,35362) = 2¹ × 5² × 7¹ × 101¹ × 17681¹
LCM(35350,35362) = 625023350