What is the Least Common Multiple of 5090 and 5110?

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 5090 and 5110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5090 and 5110, than apply into the LCM equation.

GCF(5090,5110) = 10
LCM(5090,5110) = ( 5090 × 5110) / 10
LCM(5090,5110) = 26009900 / 10
LCM(5090,5110) = 2600990

Least Common Multiple (LCM) of 5090 and 5110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5090 and 5110. First we will calculate the prime factors of 5090 and 5110.

Prime Factorization of 5090

Prime Factorization of 5110

Now multiplying the highest exponent prime factors to calculate the LCM of 5090 and 5110.

LCM(5090,5110) = 2¹ × 5¹ × 509¹ × 7¹ × 73¹
LCM(5090,5110) = 2600990