What is the Least Common Multiple of 42812 and 42830?

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 42812 and 42830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42812 and 42830, than apply into the LCM equation.

GCF(42812,42830) = 2
LCM(42812,42830) = ( 42812 × 42830) / 2
LCM(42812,42830) = 1833637960 / 2
LCM(42812,42830) = 916818980

Least Common Multiple (LCM) of 42812 and 42830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42812 and 42830. First we will calculate the prime factors of 42812 and 42830.

Prime Factorization of 42812

Prime Factorization of 42830

Now multiplying the highest exponent prime factors to calculate the LCM of 42812 and 42830.

LCM(42812,42830) = 2² × 7¹ × 11¹ × 139¹ × 5¹ × 4283¹
LCM(42812,42830) = 916818980