What is the Least Common Multiple of 53685 and 53704?

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 53685 and 53704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53685 and 53704, than apply into the LCM equation.

GCF(53685,53704) = 1
LCM(53685,53704) = ( 53685 × 53704) / 1
LCM(53685,53704) = 2883099240 / 1
LCM(53685,53704) = 2883099240

Least Common Multiple (LCM) of 53685 and 53704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53685 and 53704. First we will calculate the prime factors of 53685 and 53704.

Prime Factorization of 53685

Prime Factorization of 53704

Now multiplying the highest exponent prime factors to calculate the LCM of 53685 and 53704.

LCM(53685,53704) = 3² × 5¹ × 1193¹ × 2³ × 7² × 137¹
LCM(53685,53704) = 2883099240