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What is the Least Common Multiple of 4900 and 4912?

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 4900 and 4912 is 6017200.

LCM(4900,4912) = 6017200

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Least Common Multiple of 4900 and 4912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4900 and 4912, than apply into the LCM equation.

GCF(4900,4912) = 4
LCM(4900,4912) = ( 4900 × 4912) / 4
LCM(4900,4912) = 24068800 / 4
LCM(4900,4912) = 6017200

Least Common Multiple (LCM) of 4900 and 4912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4900 and 4912. First we will calculate the prime factors of 4900 and 4912.

Prime Factorization of 4900

Prime factors of 4900 are 2, 5, 7. Prime factorization of 4900 in exponential form is:

4900 = 22 × 52 × 72

Prime Factorization of 4912

Prime factors of 4912 are 2, 307. Prime factorization of 4912 in exponential form is:

4912 = 24 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 4900 and 4912.

LCM(4900,4912) = 24 × 52 × 72 × 3071
LCM(4900,4912) = 6017200