What is the Least Common Multiple of 53291 and 53305?

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 53291 and 53305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53291 and 53305, than apply into the LCM equation.

GCF(53291,53305) = 7
LCM(53291,53305) = ( 53291 × 53305) / 7
LCM(53291,53305) = 2840676755 / 7
LCM(53291,53305) = 405810965

Least Common Multiple (LCM) of 53291 and 53305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53291 and 53305. First we will calculate the prime factors of 53291 and 53305.

Prime Factorization of 53291

Prime Factorization of 53305

Now multiplying the highest exponent prime factors to calculate the LCM of 53291 and 53305.

LCM(53291,53305) = 7¹ × 23¹ × 331¹ × 5¹ × 1523¹
LCM(53291,53305) = 405810965