What is the Least Common Multiple of 83520 and 83538?

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 83520 and 83538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83520 and 83538, than apply into the LCM equation.

GCF(83520,83538) = 18
LCM(83520,83538) = ( 83520 × 83538) / 18
LCM(83520,83538) = 6977093760 / 18
LCM(83520,83538) = 387616320

Least Common Multiple (LCM) of 83520 and 83538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83520 and 83538. First we will calculate the prime factors of 83520 and 83538.

Prime Factorization of 83520

Prime Factorization of 83538

Now multiplying the highest exponent prime factors to calculate the LCM of 83520 and 83538.

LCM(83520,83538) = 2⁶ × 3³ × 5¹ × 29¹ × 7¹ × 13¹ × 17¹
LCM(83520,83538) = 387616320