What is the Least Common Multiple of 65460 and 65475?

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 65475 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 65475, than apply into the LCM equation.

GCF(65460,65475) = 15
LCM(65460,65475) = ( 65460 × 65475) / 15
LCM(65460,65475) = 4285993500 / 15
LCM(65460,65475) = 285732900

Least Common Multiple (LCM) of 65460 and 65475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65460 and 65475. First we will calculate the prime factors of 65460 and 65475.

Prime Factorization of 65460

Prime Factorization of 65475

Now multiplying the highest exponent prime factors to calculate the LCM of 65460 and 65475.

LCM(65460,65475) = 2² × 3³ × 5² × 1091¹ × 97¹
LCM(65460,65475) = 285732900