What is the Least Common Multiple of 83664 and 83668?

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 83664 and 83668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83664 and 83668, than apply into the LCM equation.

GCF(83664,83668) = 4
LCM(83664,83668) = ( 83664 × 83668) / 4
LCM(83664,83668) = 6999999552 / 4
LCM(83664,83668) = 1749999888

Least Common Multiple (LCM) of 83664 and 83668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83664 and 83668. First we will calculate the prime factors of 83664 and 83668.

Prime Factorization of 83664

Prime Factorization of 83668

Now multiplying the highest exponent prime factors to calculate the LCM of 83664 and 83668.

LCM(83664,83668) = 2⁴ × 3² × 7¹ × 83¹ × 13¹ × 1609¹
LCM(83664,83668) = 1749999888