What is the Least Common Multiple of 5050 and 5062?

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 5050 and 5062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5050 and 5062, than apply into the LCM equation.

GCF(5050,5062) = 2
LCM(5050,5062) = ( 5050 × 5062) / 2
LCM(5050,5062) = 25563100 / 2
LCM(5050,5062) = 12781550

Least Common Multiple (LCM) of 5050 and 5062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5050 and 5062. First we will calculate the prime factors of 5050 and 5062.

Prime Factorization of 5050

Prime Factorization of 5062

Now multiplying the highest exponent prime factors to calculate the LCM of 5050 and 5062.

LCM(5050,5062) = 2¹ × 5² × 101¹ × 2531¹
LCM(5050,5062) = 12781550