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What is the Least Common Multiple of 48913 and 48924?

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 48913 and 48924 is 2393019612.

LCM(48913,48924) = 2393019612

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Least Common Multiple of 48913 and 48924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48913 and 48924, than apply into the LCM equation.

GCF(48913,48924) = 1
LCM(48913,48924) = ( 48913 × 48924) / 1
LCM(48913,48924) = 2393019612 / 1
LCM(48913,48924) = 2393019612

Least Common Multiple (LCM) of 48913 and 48924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48913 and 48924. First we will calculate the prime factors of 48913 and 48924.

Prime Factorization of 48913

Prime factors of 48913 are 41, 1193. Prime factorization of 48913 in exponential form is:

48913 = 411 × 11931

Prime Factorization of 48924

Prime factors of 48924 are 2, 3, 151. Prime factorization of 48924 in exponential form is:

48924 = 22 × 34 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 48913 and 48924.

LCM(48913,48924) = 411 × 11931 × 22 × 34 × 1511
LCM(48913,48924) = 2393019612