What is the Least Common Multiple of 53604 and 53616?

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 53604 and 53616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53604 and 53616, than apply into the LCM equation.

GCF(53604,53616) = 12
LCM(53604,53616) = ( 53604 × 53616) / 12
LCM(53604,53616) = 2874032064 / 12
LCM(53604,53616) = 239502672

Least Common Multiple (LCM) of 53604 and 53616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53604 and 53616. First we will calculate the prime factors of 53604 and 53616.

Prime Factorization of 53604

Prime Factorization of 53616

Now multiplying the highest exponent prime factors to calculate the LCM of 53604 and 53616.

LCM(53604,53616) = 2⁴ × 3² × 1489¹ × 1117¹
LCM(53604,53616) = 239502672