What is the Least Common Multiple of 53115 and 53120?

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 53115 and 53120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53115 and 53120, than apply into the LCM equation.

GCF(53115,53120) = 5
LCM(53115,53120) = ( 53115 × 53120) / 5
LCM(53115,53120) = 2821468800 / 5
LCM(53115,53120) = 564293760

Least Common Multiple (LCM) of 53115 and 53120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53115 and 53120. First we will calculate the prime factors of 53115 and 53120.

Prime Factorization of 53115

Prime Factorization of 53120

Now multiplying the highest exponent prime factors to calculate the LCM of 53115 and 53120.

LCM(53115,53120) = 3¹ × 5¹ × 3541¹ × 2⁷ × 83¹
LCM(53115,53120) = 564293760