What is the Least Common Multiple of 53130 and 53135?

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 53130 and 53135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53130 and 53135, than apply into the LCM equation.

GCF(53130,53135) = 5
LCM(53130,53135) = ( 53130 × 53135) / 5
LCM(53130,53135) = 2823062550 / 5
LCM(53130,53135) = 564612510

Least Common Multiple (LCM) of 53130 and 53135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53130 and 53135. First we will calculate the prime factors of 53130 and 53135.

Prime Factorization of 53130

Prime Factorization of 53135

Now multiplying the highest exponent prime factors to calculate the LCM of 53130 and 53135.

LCM(53130,53135) = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 23¹ × 10627¹
LCM(53130,53135) = 564612510