GCF and LCM Calculator Logo

What is the Least Common Multiple of 2432 and 2450?

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 2432 and 2450 is 2979200.

LCM(2432,2450) = 2979200

LCM Calculator and
and

Least Common Multiple of 2432 and 2450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2432 and 2450, than apply into the LCM equation.

GCF(2432,2450) = 2
LCM(2432,2450) = ( 2432 × 2450) / 2
LCM(2432,2450) = 5958400 / 2
LCM(2432,2450) = 2979200

Least Common Multiple (LCM) of 2432 and 2450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2432 and 2450. First we will calculate the prime factors of 2432 and 2450.

Prime Factorization of 2432

Prime factors of 2432 are 2, 19. Prime factorization of 2432 in exponential form is:

2432 = 27 × 191

Prime Factorization of 2450

Prime factors of 2450 are 2, 5, 7. Prime factorization of 2450 in exponential form is:

2450 = 21 × 52 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 2432 and 2450.

LCM(2432,2450) = 27 × 191 × 52 × 72
LCM(2432,2450) = 2979200