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What is the Least Common Multiple of 62046 and 62050?

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 62046 and 62050 is 1924977150.

LCM(62046,62050) = 1924977150

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Least Common Multiple of 62046 and 62050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62046 and 62050, than apply into the LCM equation.

GCF(62046,62050) = 2
LCM(62046,62050) = ( 62046 × 62050) / 2
LCM(62046,62050) = 3849954300 / 2
LCM(62046,62050) = 1924977150

Least Common Multiple (LCM) of 62046 and 62050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62046 and 62050. First we will calculate the prime factors of 62046 and 62050.

Prime Factorization of 62046

Prime factors of 62046 are 2, 3, 383. Prime factorization of 62046 in exponential form is:

62046 = 21 × 34 × 3831

Prime Factorization of 62050

Prime factors of 62050 are 2, 5, 17, 73. Prime factorization of 62050 in exponential form is:

62050 = 21 × 52 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 62046 and 62050.

LCM(62046,62050) = 21 × 34 × 3831 × 52 × 171 × 731
LCM(62046,62050) = 1924977150