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What is the Least Common Multiple of 62063 and 62074?

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 62063 and 62074 is 3852498662.

LCM(62063,62074) = 3852498662

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Least Common Multiple of 62063 and 62074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62063 and 62074, than apply into the LCM equation.

GCF(62063,62074) = 1
LCM(62063,62074) = ( 62063 × 62074) / 1
LCM(62063,62074) = 3852498662 / 1
LCM(62063,62074) = 3852498662

Least Common Multiple (LCM) of 62063 and 62074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62063 and 62074. First we will calculate the prime factors of 62063 and 62074.

Prime Factorization of 62063

Prime factors of 62063 are 53, 1171. Prime factorization of 62063 in exponential form is:

62063 = 531 × 11711

Prime Factorization of 62074

Prime factors of 62074 are 2, 41, 757. Prime factorization of 62074 in exponential form is:

62074 = 21 × 411 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 62063 and 62074.

LCM(62063,62074) = 531 × 11711 × 21 × 411 × 7571
LCM(62063,62074) = 3852498662