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What is the Least Common Multiple of 49122 and 49127?

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 49122 and 49127 is 2413216494.

LCM(49122,49127) = 2413216494

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Least Common Multiple of 49122 and 49127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49122 and 49127, than apply into the LCM equation.

GCF(49122,49127) = 1
LCM(49122,49127) = ( 49122 × 49127) / 1
LCM(49122,49127) = 2413216494 / 1
LCM(49122,49127) = 2413216494

Least Common Multiple (LCM) of 49122 and 49127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49122 and 49127. First we will calculate the prime factors of 49122 and 49127.

Prime Factorization of 49122

Prime factors of 49122 are 2, 3, 2729. Prime factorization of 49122 in exponential form is:

49122 = 21 × 32 × 27291

Prime Factorization of 49127

Prime factors of 49127 are 13, 3779. Prime factorization of 49127 in exponential form is:

49127 = 131 × 37791

Now multiplying the highest exponent prime factors to calculate the LCM of 49122 and 49127.

LCM(49122,49127) = 21 × 32 × 27291 × 131 × 37791
LCM(49122,49127) = 2413216494