What is the Least Common Multiple of 83532 and 83540?

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 83532 and 83540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83532 and 83540, than apply into the LCM equation.

GCF(83532,83540) = 4
LCM(83532,83540) = ( 83532 × 83540) / 4
LCM(83532,83540) = 6978263280 / 4
LCM(83532,83540) = 1744565820

Least Common Multiple (LCM) of 83532 and 83540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83532 and 83540. First we will calculate the prime factors of 83532 and 83540.

Prime Factorization of 83532

Prime Factorization of 83540

Now multiplying the highest exponent prime factors to calculate the LCM of 83532 and 83540.

LCM(83532,83540) = 2² × 3¹ × 6961¹ × 5¹ × 4177¹
LCM(83532,83540) = 1744565820