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What is the Least Common Multiple of 62043 and 62057?

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 62043 and 62057 is 3850202451.

LCM(62043,62057) = 3850202451

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Least Common Multiple of 62043 and 62057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62043 and 62057, than apply into the LCM equation.

GCF(62043,62057) = 1
LCM(62043,62057) = ( 62043 × 62057) / 1
LCM(62043,62057) = 3850202451 / 1
LCM(62043,62057) = 3850202451

Least Common Multiple (LCM) of 62043 and 62057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62043 and 62057. First we will calculate the prime factors of 62043 and 62057.

Prime Factorization of 62043

Prime factors of 62043 are 3, 20681. Prime factorization of 62043 in exponential form is:

62043 = 31 × 206811

Prime Factorization of 62057

Prime factors of 62057 are 62057. Prime factorization of 62057 in exponential form is:

62057 = 620571

Now multiplying the highest exponent prime factors to calculate the LCM of 62043 and 62057.

LCM(62043,62057) = 31 × 206811 × 620571
LCM(62043,62057) = 3850202451