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What is the Least Common Multiple of 2442 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 2442 and 2450 is 2991450.

LCM(2442,2450) = 2991450

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Least Common Multiple of 2442 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 2442 and 2450, than apply into the LCM equation.

GCF(2442,2450) = 2
LCM(2442,2450) = ( 2442 × 2450) / 2
LCM(2442,2450) = 5982900 / 2
LCM(2442,2450) = 2991450

Least Common Multiple (LCM) of 2442 and 2450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2442 and 2450. First we will calculate the prime factors of 2442 and 2450.

Prime Factorization of 2442

Prime factors of 2442 are 2, 3, 11, 37. Prime factorization of 2442 in exponential form is:

2442 = 21 × 31 × 111 × 371

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 2442 and 2450.

LCM(2442,2450) = 21 × 31 × 111 × 371 × 52 × 72
LCM(2442,2450) = 2991450