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What is the Least Common Multiple of 48902 and 48913?

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 48902 and 48913 is 2391943526.

LCM(48902,48913) = 2391943526

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Least Common Multiple of 48902 and 48913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48902 and 48913, than apply into the LCM equation.

GCF(48902,48913) = 1
LCM(48902,48913) = ( 48902 × 48913) / 1
LCM(48902,48913) = 2391943526 / 1
LCM(48902,48913) = 2391943526

Least Common Multiple (LCM) of 48902 and 48913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48902 and 48913. First we will calculate the prime factors of 48902 and 48913.

Prime Factorization of 48902

Prime factors of 48902 are 2, 7, 499. Prime factorization of 48902 in exponential form is:

48902 = 21 × 72 × 4991

Prime Factorization of 48913

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

48913 = 411 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 48902 and 48913.

LCM(48902,48913) = 21 × 72 × 4991 × 411 × 11931
LCM(48902,48913) = 2391943526