What is the Least Common Multiple of 10035 and 10050?

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 10035 and 10050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10035 and 10050, than apply into the LCM equation.

GCF(10035,10050) = 15
LCM(10035,10050) = ( 10035 × 10050) / 15
LCM(10035,10050) = 100851750 / 15
LCM(10035,10050) = 6723450

Least Common Multiple (LCM) of 10035 and 10050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10035 and 10050. First we will calculate the prime factors of 10035 and 10050.

Prime Factorization of 10035

Prime Factorization of 10050

Now multiplying the highest exponent prime factors to calculate the LCM of 10035 and 10050.

LCM(10035,10050) = 3² × 5² × 223¹ × 2¹ × 67¹
LCM(10035,10050) = 6723450