What is the Least Common Multiple of 62892 and 62900?

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 62892 and 62900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62892 and 62900, than apply into the LCM equation.

GCF(62892,62900) = 4
LCM(62892,62900) = ( 62892 × 62900) / 4
LCM(62892,62900) = 3955906800 / 4
LCM(62892,62900) = 988976700

Least Common Multiple (LCM) of 62892 and 62900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62892 and 62900. First we will calculate the prime factors of 62892 and 62900.

Prime Factorization of 62892

Prime Factorization of 62900

Now multiplying the highest exponent prime factors to calculate the LCM of 62892 and 62900.

LCM(62892,62900) = 2² × 3² × 1747¹ × 5² × 17¹ × 37¹
LCM(62892,62900) = 988976700