What is the Least Common Multiple of 65169 and 65175?

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 65169 and 65175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65169 and 65175, than apply into the LCM equation.

GCF(65169,65175) = 3
LCM(65169,65175) = ( 65169 × 65175) / 3
LCM(65169,65175) = 4247389575 / 3
LCM(65169,65175) = 1415796525

Least Common Multiple (LCM) of 65169 and 65175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65169 and 65175. First we will calculate the prime factors of 65169 and 65175.

Prime Factorization of 65169

Prime Factorization of 65175

Now multiplying the highest exponent prime factors to calculate the LCM of 65169 and 65175.

LCM(65169,65175) = 3² × 13¹ × 557¹ × 5² × 11¹ × 79¹
LCM(65169,65175) = 1415796525