What is the Least Common Multiple of 53880 and 53890?

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 53880 and 53890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53880 and 53890, than apply into the LCM equation.

GCF(53880,53890) = 10
LCM(53880,53890) = ( 53880 × 53890) / 10
LCM(53880,53890) = 2903593200 / 10
LCM(53880,53890) = 290359320

Least Common Multiple (LCM) of 53880 and 53890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53880 and 53890. First we will calculate the prime factors of 53880 and 53890.

Prime Factorization of 53880

Prime Factorization of 53890

Now multiplying the highest exponent prime factors to calculate the LCM of 53880 and 53890.

LCM(53880,53890) = 2³ × 3¹ × 5¹ × 449¹ × 17¹ × 317¹
LCM(53880,53890) = 290359320