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What is the Least Common Multiple of 30042 and 30050?

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 30042 and 30050 is 451381050.

LCM(30042,30050) = 451381050

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Least Common Multiple of 30042 and 30050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30042 and 30050, than apply into the LCM equation.

GCF(30042,30050) = 2
LCM(30042,30050) = ( 30042 × 30050) / 2
LCM(30042,30050) = 902762100 / 2
LCM(30042,30050) = 451381050

Least Common Multiple (LCM) of 30042 and 30050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30042 and 30050. First we will calculate the prime factors of 30042 and 30050.

Prime Factorization of 30042

Prime factors of 30042 are 2, 3, 1669. Prime factorization of 30042 in exponential form is:

30042 = 21 × 32 × 16691

Prime Factorization of 30050

Prime factors of 30050 are 2, 5, 601. Prime factorization of 30050 in exponential form is:

30050 = 21 × 52 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 30042 and 30050.

LCM(30042,30050) = 21 × 32 × 16691 × 52 × 6011
LCM(30042,30050) = 451381050