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What is the Least Common Multiple of 2924 and 2935?

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 2924 and 2935 is 8581940.

LCM(2924,2935) = 8581940

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Least Common Multiple of 2924 and 2935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2924 and 2935, than apply into the LCM equation.

GCF(2924,2935) = 1
LCM(2924,2935) = ( 2924 × 2935) / 1
LCM(2924,2935) = 8581940 / 1
LCM(2924,2935) = 8581940

Least Common Multiple (LCM) of 2924 and 2935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2924 and 2935. First we will calculate the prime factors of 2924 and 2935.

Prime Factorization of 2924

Prime factors of 2924 are 2, 17, 43. Prime factorization of 2924 in exponential form is:

2924 = 22 × 171 × 431

Prime Factorization of 2935

Prime factors of 2935 are 5, 587. Prime factorization of 2935 in exponential form is:

2935 = 51 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 2924 and 2935.

LCM(2924,2935) = 22 × 171 × 431 × 51 × 5871
LCM(2924,2935) = 8581940