What is the Least Common Multiple of 62075 and 62089?

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 62075 and 62089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62075 and 62089, than apply into the LCM equation.

GCF(62075,62089) = 1
LCM(62075,62089) = ( 62075 × 62089) / 1
LCM(62075,62089) = 3854174675 / 1
LCM(62075,62089) = 3854174675

Least Common Multiple (LCM) of 62075 and 62089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62075 and 62089. First we will calculate the prime factors of 62075 and 62089.

Prime Factorization of 62075

Prime Factorization of 62089

Now multiplying the highest exponent prime factors to calculate the LCM of 62075 and 62089.

LCM(62075,62089) = 5² × 13¹ × 191¹ × 29¹ × 2141¹
LCM(62075,62089) = 3854174675