What is the Least Common Multiple of 65460 and 65469?

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 65469 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 65469, than apply into the LCM equation.

GCF(65460,65469) = 3
LCM(65460,65469) = ( 65460 × 65469) / 3
LCM(65460,65469) = 4285600740 / 3
LCM(65460,65469) = 1428533580

Least Common Multiple (LCM) of 65460 and 65469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65460 and 65469. First we will calculate the prime factors of 65460 and 65469.

Prime Factorization of 65460

Prime Factorization of 65469

Now multiplying the highest exponent prime factors to calculate the LCM of 65460 and 65469.

LCM(65460,65469) = 2² × 3¹ × 5¹ × 1091¹ × 139¹ × 157¹
LCM(65460,65469) = 1428533580