What is the Least Common Multiple of 52080 and 52100?

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 52100 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 52100, than apply into the LCM equation.

GCF(52080,52100) = 20
LCM(52080,52100) = ( 52080 × 52100) / 20
LCM(52080,52100) = 2713368000 / 20
LCM(52080,52100) = 135668400

Least Common Multiple (LCM) of 52080 and 52100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52080 and 52100. First we will calculate the prime factors of 52080 and 52100.

Prime Factorization of 52080

Prime Factorization of 52100

Now multiplying the highest exponent prime factors to calculate the LCM of 52080 and 52100.

LCM(52080,52100) = 2⁴ × 3¹ × 5² × 7¹ × 31¹ × 521¹
LCM(52080,52100) = 135668400