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What is the Least Common Multiple of 4146 and 4150?

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 4146 and 4150 is 8602950.

LCM(4146,4150) = 8602950

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Least Common Multiple of 4146 and 4150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4146 and 4150, than apply into the LCM equation.

GCF(4146,4150) = 2
LCM(4146,4150) = ( 4146 × 4150) / 2
LCM(4146,4150) = 17205900 / 2
LCM(4146,4150) = 8602950

Least Common Multiple (LCM) of 4146 and 4150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4146 and 4150. First we will calculate the prime factors of 4146 and 4150.

Prime Factorization of 4146

Prime factors of 4146 are 2, 3, 691. Prime factorization of 4146 in exponential form is:

4146 = 21 × 31 × 6911

Prime Factorization of 4150

Prime factors of 4150 are 2, 5, 83. Prime factorization of 4150 in exponential form is:

4150 = 21 × 52 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 4146 and 4150.

LCM(4146,4150) = 21 × 31 × 6911 × 52 × 831
LCM(4146,4150) = 8602950