What is the Least Common Multiple of 62970 and 62975?

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 62970 and 62975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62970 and 62975, than apply into the LCM equation.

GCF(62970,62975) = 5
LCM(62970,62975) = ( 62970 × 62975) / 5
LCM(62970,62975) = 3965535750 / 5
LCM(62970,62975) = 793107150

Least Common Multiple (LCM) of 62970 and 62975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62970 and 62975. First we will calculate the prime factors of 62970 and 62975.

Prime Factorization of 62970

Prime Factorization of 62975

Now multiplying the highest exponent prime factors to calculate the LCM of 62970 and 62975.

LCM(62970,62975) = 2¹ × 3¹ × 5² × 2099¹ × 11¹ × 229¹
LCM(62970,62975) = 793107150