What is the Least Common Multiple of 48684 and 48704?

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 48684 and 48704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48684 and 48704, than apply into the LCM equation.

GCF(48684,48704) = 4
LCM(48684,48704) = ( 48684 × 48704) / 4
LCM(48684,48704) = 2371105536 / 4
LCM(48684,48704) = 592776384

Least Common Multiple (LCM) of 48684 and 48704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48684 and 48704. First we will calculate the prime factors of 48684 and 48704.

Prime Factorization of 48684

Prime Factorization of 48704

Now multiplying the highest exponent prime factors to calculate the LCM of 48684 and 48704.

LCM(48684,48704) = 2⁶ × 3¹ × 4057¹ × 761¹
LCM(48684,48704) = 592776384