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What is the Least Common Multiple of 4200 and 4207?

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 4200 and 4207 is 2524200.

LCM(4200,4207) = 2524200

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Least Common Multiple of 4200 and 4207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4200 and 4207, than apply into the LCM equation.

GCF(4200,4207) = 7
LCM(4200,4207) = ( 4200 × 4207) / 7
LCM(4200,4207) = 17669400 / 7
LCM(4200,4207) = 2524200

Least Common Multiple (LCM) of 4200 and 4207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4200 and 4207. First we will calculate the prime factors of 4200 and 4207.

Prime Factorization of 4200

Prime factors of 4200 are 2, 3, 5, 7. Prime factorization of 4200 in exponential form is:

4200 = 23 × 31 × 52 × 71

Prime Factorization of 4207

Prime factors of 4207 are 7, 601. Prime factorization of 4207 in exponential form is:

4207 = 71 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 4200 and 4207.

LCM(4200,4207) = 23 × 31 × 52 × 71 × 6011
LCM(4200,4207) = 2524200