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What is the Least Common Multiple of 62050 and 62061?

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 62050 and 62061 is 3850885050.

LCM(62050,62061) = 3850885050

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Least Common Multiple of 62050 and 62061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62050 and 62061, than apply into the LCM equation.

GCF(62050,62061) = 1
LCM(62050,62061) = ( 62050 × 62061) / 1
LCM(62050,62061) = 3850885050 / 1
LCM(62050,62061) = 3850885050

Least Common Multiple (LCM) of 62050 and 62061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62050 and 62061. First we will calculate the prime factors of 62050 and 62061.

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

Prime Factorization of 62061

Prime factors of 62061 are 3, 137, 151. Prime factorization of 62061 in exponential form is:

62061 = 31 × 1371 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 62050 and 62061.

LCM(62050,62061) = 21 × 52 × 171 × 731 × 31 × 1371 × 1511
LCM(62050,62061) = 3850885050