What is the Least Common Multiple of 53650 and 53670?

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 53650 and 53670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53650 and 53670, than apply into the LCM equation.

GCF(53650,53670) = 10
LCM(53650,53670) = ( 53650 × 53670) / 10
LCM(53650,53670) = 2879395500 / 10
LCM(53650,53670) = 287939550

Least Common Multiple (LCM) of 53650 and 53670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53650 and 53670. First we will calculate the prime factors of 53650 and 53670.

Prime Factorization of 53650

Prime Factorization of 53670

Now multiplying the highest exponent prime factors to calculate the LCM of 53650 and 53670.

LCM(53650,53670) = 2¹ × 5² × 29¹ × 37¹ × 3¹ × 1789¹
LCM(53650,53670) = 287939550