What is the Least Common Multiple of 53670 and 53689?

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 53670 and 53689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53670 and 53689, than apply into the LCM equation.

GCF(53670,53689) = 1
LCM(53670,53689) = ( 53670 × 53689) / 1
LCM(53670,53689) = 2881488630 / 1
LCM(53670,53689) = 2881488630

Least Common Multiple (LCM) of 53670 and 53689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53670 and 53689. First we will calculate the prime factors of 53670 and 53689.

Prime Factorization of 53670

Prime Factorization of 53689

Now multiplying the highest exponent prime factors to calculate the LCM of 53670 and 53689.

LCM(53670,53689) = 2¹ × 3¹ × 5¹ × 1789¹ × 53¹ × 1013¹
LCM(53670,53689) = 2881488630