GCF and LCM Calculator Logo

What is the Least Common Multiple of 30962 and 30975?

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 30962 and 30975 is 959047950.

LCM(30962,30975) = 959047950

LCM Calculator and
and

Least Common Multiple of 30962 and 30975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30962 and 30975, than apply into the LCM equation.

GCF(30962,30975) = 1
LCM(30962,30975) = ( 30962 × 30975) / 1
LCM(30962,30975) = 959047950 / 1
LCM(30962,30975) = 959047950

Least Common Multiple (LCM) of 30962 and 30975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30962 and 30975. First we will calculate the prime factors of 30962 and 30975.

Prime Factorization of 30962

Prime factors of 30962 are 2, 113, 137. Prime factorization of 30962 in exponential form is:

30962 = 21 × 1131 × 1371

Prime Factorization of 30975

Prime factors of 30975 are 3, 5, 7, 59. Prime factorization of 30975 in exponential form is:

30975 = 31 × 52 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 30962 and 30975.

LCM(30962,30975) = 21 × 1131 × 1371 × 31 × 52 × 71 × 591
LCM(30962,30975) = 959047950