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What is the Least Common Multiple of 49877 and 49885?

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 49877 and 49885 is 2488114145.

LCM(49877,49885) = 2488114145

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Least Common Multiple of 49877 and 49885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49877 and 49885, than apply into the LCM equation.

GCF(49877,49885) = 1
LCM(49877,49885) = ( 49877 × 49885) / 1
LCM(49877,49885) = 2488114145 / 1
LCM(49877,49885) = 2488114145

Least Common Multiple (LCM) of 49877 and 49885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49877 and 49885. First we will calculate the prime factors of 49877 and 49885.

Prime Factorization of 49877

Prime factors of 49877 are 49877. Prime factorization of 49877 in exponential form is:

49877 = 498771

Prime Factorization of 49885

Prime factors of 49885 are 5, 11, 907. Prime factorization of 49885 in exponential form is:

49885 = 51 × 111 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 49877 and 49885.

LCM(49877,49885) = 498771 × 51 × 111 × 9071
LCM(49877,49885) = 2488114145