What is the Least Common Multiple of 53375 and 53382?

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 53375 and 53382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53375 and 53382, than apply into the LCM equation.

GCF(53375,53382) = 7
LCM(53375,53382) = ( 53375 × 53382) / 7
LCM(53375,53382) = 2849264250 / 7
LCM(53375,53382) = 407037750

Least Common Multiple (LCM) of 53375 and 53382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53375 and 53382. First we will calculate the prime factors of 53375 and 53382.

Prime Factorization of 53375

Prime Factorization of 53382

Now multiplying the highest exponent prime factors to calculate the LCM of 53375 and 53382.

LCM(53375,53382) = 5³ × 7¹ × 61¹ × 2¹ × 3¹ × 31¹ × 41¹
LCM(53375,53382) = 407037750