What is the Least Common Multiple of 53664 and 53684?

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 53664 and 53684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53664 and 53684, than apply into the LCM equation.

GCF(53664,53684) = 4
LCM(53664,53684) = ( 53664 × 53684) / 4
LCM(53664,53684) = 2880898176 / 4
LCM(53664,53684) = 720224544

Least Common Multiple (LCM) of 53664 and 53684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53664 and 53684. First we will calculate the prime factors of 53664 and 53684.

Prime Factorization of 53664

Prime Factorization of 53684

Now multiplying the highest exponent prime factors to calculate the LCM of 53664 and 53684.

LCM(53664,53684) = 2⁵ × 3¹ × 13¹ × 43¹ × 13421¹
LCM(53664,53684) = 720224544