What is the Least Common Multiple of 50300 and 50320?

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 50320 is 126554800.

LCM(50300,50320) = 126554800

Least Common Multiple of 50300 and 50320 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 50320, than apply into the LCM equation.

GCF(50300,50320) = 20
LCM(50300,50320) = ( 50300 × 50320) / 20
LCM(50300,50320) = 2531096000 / 20
LCM(50300,50320) = 126554800

Least Common Multiple (LCM) of 50300 and 50320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50300 and 50320. First we will calculate the prime factors of 50300 and 50320.

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 50320

Prime factors of 50320 are 2, 5, 17, 37. Prime factorization of 50320 in exponential form is:

50320 = 2⁴ × 5¹ × 17¹ × 37¹

Now multiplying the highest exponent prime factors to calculate the LCM of 50300 and 50320.

LCM(50300,50320) = 2⁴ × 5² × 503¹ × 17¹ × 37¹
LCM(50300,50320) = 126554800

What is the Least Common Multiple of 50300 and 50320?

Least Common Multiple of 50300 and 50320 with GCF Formula

Least Common Multiple (LCM) of 50300 and 50320 with Primes

Prime Factorization of 50300

Prime Factorization of 50320

Related Least Common Multiples of 50300

Related Least Common Multiples of 50320