What is the Least Common Multiple of 71664 and 71684?

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 71664 and 71684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71664 and 71684, than apply into the LCM equation.

GCF(71664,71684) = 4
LCM(71664,71684) = ( 71664 × 71684) / 4
LCM(71664,71684) = 5137162176 / 4
LCM(71664,71684) = 1284290544

Least Common Multiple (LCM) of 71664 and 71684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71664 and 71684. First we will calculate the prime factors of 71664 and 71684.

Prime Factorization of 71664

Prime Factorization of 71684

Now multiplying the highest exponent prime factors to calculate the LCM of 71664 and 71684.

LCM(71664,71684) = 2⁴ × 3¹ × 1493¹ × 17921¹
LCM(71664,71684) = 1284290544