What is the Least Common Multiple of 71688 and 71708?

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 71688 and 71708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71688 and 71708, than apply into the LCM equation.

GCF(71688,71708) = 4
LCM(71688,71708) = ( 71688 × 71708) / 4
LCM(71688,71708) = 5140603104 / 4
LCM(71688,71708) = 1285150776

Least Common Multiple (LCM) of 71688 and 71708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71688 and 71708. First we will calculate the prime factors of 71688 and 71708.

Prime Factorization of 71688

Prime Factorization of 71708

Now multiplying the highest exponent prime factors to calculate the LCM of 71688 and 71708.

LCM(71688,71708) = 2³ × 3¹ × 29¹ × 103¹ × 7¹ × 13¹ × 197¹
LCM(71688,71708) = 1285150776