What is the Least Common Multiple of 83532 and 83536?

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 83536 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 83536, than apply into the LCM equation.

GCF(83532,83536) = 4
LCM(83532,83536) = ( 83532 × 83536) / 4
LCM(83532,83536) = 6977929152 / 4
LCM(83532,83536) = 1744482288

Least Common Multiple (LCM) of 83532 and 83536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83532 and 83536. First we will calculate the prime factors of 83532 and 83536.

Prime Factorization of 83532

Prime Factorization of 83536

Now multiplying the highest exponent prime factors to calculate the LCM of 83532 and 83536.

LCM(83532,83536) = 2⁴ × 3¹ × 6961¹ × 23¹ × 227¹
LCM(83532,83536) = 1744482288