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What is the Least Common Multiple of 49138 and 49150?

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 49138 and 49150 is 1207566350.

LCM(49138,49150) = 1207566350

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Least Common Multiple of 49138 and 49150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49138 and 49150, than apply into the LCM equation.

GCF(49138,49150) = 2
LCM(49138,49150) = ( 49138 × 49150) / 2
LCM(49138,49150) = 2415132700 / 2
LCM(49138,49150) = 1207566350

Least Common Multiple (LCM) of 49138 and 49150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49138 and 49150. First we will calculate the prime factors of 49138 and 49150.

Prime Factorization of 49138

Prime factors of 49138 are 2, 79, 311. Prime factorization of 49138 in exponential form is:

49138 = 21 × 791 × 3111

Prime Factorization of 49150

Prime factors of 49150 are 2, 5, 983. Prime factorization of 49150 in exponential form is:

49150 = 21 × 52 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 49138 and 49150.

LCM(49138,49150) = 21 × 791 × 3111 × 52 × 9831
LCM(49138,49150) = 1207566350