What is the Least Common Multiple of 35044 and 35050?

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 35044 and 35050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35044 and 35050, than apply into the LCM equation.

GCF(35044,35050) = 2
LCM(35044,35050) = ( 35044 × 35050) / 2
LCM(35044,35050) = 1228292200 / 2
LCM(35044,35050) = 614146100

Least Common Multiple (LCM) of 35044 and 35050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35044 and 35050. First we will calculate the prime factors of 35044 and 35050.

Prime Factorization of 35044

Prime Factorization of 35050

Now multiplying the highest exponent prime factors to calculate the LCM of 35044 and 35050.

LCM(35044,35050) = 2² × 8761¹ × 5² × 701¹
LCM(35044,35050) = 614146100