What is the Least Common Multiple of 5055 and 5065?

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 5055 and 5065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5055 and 5065, than apply into the LCM equation.

GCF(5055,5065) = 5
LCM(5055,5065) = ( 5055 × 5065) / 5
LCM(5055,5065) = 25603575 / 5
LCM(5055,5065) = 5120715

Least Common Multiple (LCM) of 5055 and 5065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5055 and 5065. First we will calculate the prime factors of 5055 and 5065.

Prime Factorization of 5055

Prime Factorization of 5065

Now multiplying the highest exponent prime factors to calculate the LCM of 5055 and 5065.

LCM(5055,5065) = 3¹ × 5¹ × 337¹ × 1013¹
LCM(5055,5065) = 5120715