What is the Least Common Multiple of 53130 and 53144?

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 53144 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 53144, than apply into the LCM equation.

GCF(53130,53144) = 14
LCM(53130,53144) = ( 53130 × 53144) / 14
LCM(53130,53144) = 2823540720 / 14
LCM(53130,53144) = 201681480

Least Common Multiple (LCM) of 53130 and 53144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53130 and 53144. First we will calculate the prime factors of 53130 and 53144.

Prime Factorization of 53130

Prime Factorization of 53144

Now multiplying the highest exponent prime factors to calculate the LCM of 53130 and 53144.

LCM(53130,53144) = 2³ × 3¹ × 5¹ × 7¹ × 11¹ × 23¹ × 13¹ × 73¹
LCM(53130,53144) = 201681480