What is the Least Common Multiple of 54684 and 54704?

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 54684 and 54704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54684 and 54704, than apply into the LCM equation.

GCF(54684,54704) = 4
LCM(54684,54704) = ( 54684 × 54704) / 4
LCM(54684,54704) = 2991433536 / 4
LCM(54684,54704) = 747858384

Least Common Multiple (LCM) of 54684 and 54704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54684 and 54704. First we will calculate the prime factors of 54684 and 54704.

Prime Factorization of 54684

Prime Factorization of 54704

Now multiplying the highest exponent prime factors to calculate the LCM of 54684 and 54704.

LCM(54684,54704) = 2⁴ × 3² × 7² × 31¹ × 13¹ × 263¹
LCM(54684,54704) = 747858384