What is the Least Common Multiple of 52065 and 52080?

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 52065 and 52080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52065 and 52080, than apply into the LCM equation.

GCF(52065,52080) = 15
LCM(52065,52080) = ( 52065 × 52080) / 15
LCM(52065,52080) = 2711545200 / 15
LCM(52065,52080) = 180769680

Least Common Multiple (LCM) of 52065 and 52080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52065 and 52080. First we will calculate the prime factors of 52065 and 52080.

Prime Factorization of 52065

Prime Factorization of 52080

Now multiplying the highest exponent prime factors to calculate the LCM of 52065 and 52080.

LCM(52065,52080) = 3² × 5¹ × 13¹ × 89¹ × 2⁴ × 7¹ × 31¹
LCM(52065,52080) = 180769680