What is the Least Common Multiple of 65460 and 65474?

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 65460 and 65474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65460 and 65474, than apply into the LCM equation.

GCF(65460,65474) = 2
LCM(65460,65474) = ( 65460 × 65474) / 2
LCM(65460,65474) = 4285928040 / 2
LCM(65460,65474) = 2142964020

Least Common Multiple (LCM) of 65460 and 65474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65460 and 65474. First we will calculate the prime factors of 65460 and 65474.

Prime Factorization of 65460

Prime Factorization of 65474

Now multiplying the highest exponent prime factors to calculate the LCM of 65460 and 65474.

LCM(65460,65474) = 2² × 3¹ × 5¹ × 1091¹ × 19¹ × 1723¹
LCM(65460,65474) = 2142964020