What is the Least Common Multiple of 65254 and 65262?

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 65254 and 65262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65254 and 65262, than apply into the LCM equation.

GCF(65254,65262) = 2
LCM(65254,65262) = ( 65254 × 65262) / 2
LCM(65254,65262) = 4258606548 / 2
LCM(65254,65262) = 2129303274

Least Common Multiple (LCM) of 65254 and 65262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65254 and 65262. First we will calculate the prime factors of 65254 and 65262.

Prime Factorization of 65254

Prime Factorization of 65262

Now multiplying the highest exponent prime factors to calculate the LCM of 65254 and 65262.

LCM(65254,65262) = 2¹ × 7¹ × 59¹ × 79¹ × 3¹ × 73¹ × 149¹
LCM(65254,65262) = 2129303274