What is the Least Common Multiple of 50300 and 50310?

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 (LCM) of 50300 and 50310 is 253059300.

LCM(50300,50310) = 253059300

Least Common Multiple of 50300 and 50310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50300 and 50310, than apply into the LCM equation.

GCF(50300,50310) = 10
LCM(50300,50310) = ( 50300 × 50310) / 10
LCM(50300,50310) = 2530593000 / 10
LCM(50300,50310) = 253059300

Least Common Multiple (LCM) of 50300 and 50310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50300 and 50310. First we will calculate the prime factors of 50300 and 50310.

Prime Factorization of 50300

Prime factors of 50300 are 2, 5, 503. Prime factorization of 50300 in exponential form is:

50300 = 2² × 5² × 503¹

Prime Factorization of 50310

Prime factors of 50310 are 2, 3, 5, 13, 43. Prime factorization of 50310 in exponential form is:

50310 = 2¹ × 3² × 5¹ × 13¹ × 43¹

Now multiplying the highest exponent prime factors to calculate the LCM of 50300 and 50310.

LCM(50300,50310) = 2² × 5² × 503¹ × 3² × 13¹ × 43¹
LCM(50300,50310) = 253059300

What is the Least Common Multiple of 50300 and 50310?

Least Common Multiple of 50300 and 50310 with GCF Formula

Least Common Multiple (LCM) of 50300 and 50310 with Primes

Prime Factorization of 50300

Prime Factorization of 50310

Related Least Common Multiples of 50300

Related Least Common Multiples of 50310