What is the Least Common Multiple of 65455 and 65472?

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 65455 and 65472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65455 and 65472, than apply into the LCM equation.

GCF(65455,65472) = 1
LCM(65455,65472) = ( 65455 × 65472) / 1
LCM(65455,65472) = 4285469760 / 1
LCM(65455,65472) = 4285469760

Least Common Multiple (LCM) of 65455 and 65472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65455 and 65472. First we will calculate the prime factors of 65455 and 65472.

Prime Factorization of 65455

Prime Factorization of 65472

Now multiplying the highest exponent prime factors to calculate the LCM of 65455 and 65472.

LCM(65455,65472) = 5¹ × 13¹ × 19¹ × 53¹ × 2⁶ × 3¹ × 11¹ × 31¹
LCM(65455,65472) = 4285469760