What is the Least Common Multiple of 52080 and 52090?

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 52080 and 52090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52080 and 52090, than apply into the LCM equation.

GCF(52080,52090) = 10
LCM(52080,52090) = ( 52080 × 52090) / 10
LCM(52080,52090) = 2712847200 / 10
LCM(52080,52090) = 271284720

Least Common Multiple (LCM) of 52080 and 52090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52080 and 52090. First we will calculate the prime factors of 52080 and 52090.

Prime Factorization of 52080

Prime Factorization of 52090

Now multiplying the highest exponent prime factors to calculate the LCM of 52080 and 52090.

LCM(52080,52090) = 2⁴ × 3¹ × 5¹ × 7¹ × 31¹ × 5209¹
LCM(52080,52090) = 271284720