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What is the Least Common Multiple of 24937 and 24942?

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 24937 and 24942 is 621978654.

LCM(24937,24942) = 621978654

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Least Common Multiple of 24937 and 24942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24937 and 24942, than apply into the LCM equation.

GCF(24937,24942) = 1
LCM(24937,24942) = ( 24937 × 24942) / 1
LCM(24937,24942) = 621978654 / 1
LCM(24937,24942) = 621978654

Least Common Multiple (LCM) of 24937 and 24942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24937 and 24942. First we will calculate the prime factors of 24937 and 24942.

Prime Factorization of 24937

Prime factors of 24937 are 11, 2267. Prime factorization of 24937 in exponential form is:

24937 = 111 × 22671

Prime Factorization of 24942

Prime factors of 24942 are 2, 3, 4157. Prime factorization of 24942 in exponential form is:

24942 = 21 × 31 × 41571

Now multiplying the highest exponent prime factors to calculate the LCM of 24937 and 24942.

LCM(24937,24942) = 111 × 22671 × 21 × 31 × 41571
LCM(24937,24942) = 621978654