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What is the Least Common Multiple of 62711 and 62725?

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 62711 and 62725 is 3933547475.

LCM(62711,62725) = 3933547475

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Least Common Multiple of 62711 and 62725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62711 and 62725, than apply into the LCM equation.

GCF(62711,62725) = 1
LCM(62711,62725) = ( 62711 × 62725) / 1
LCM(62711,62725) = 3933547475 / 1
LCM(62711,62725) = 3933547475

Least Common Multiple (LCM) of 62711 and 62725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62711 and 62725. First we will calculate the prime factors of 62711 and 62725.

Prime Factorization of 62711

Prime factors of 62711 are 11, 5701. Prime factorization of 62711 in exponential form is:

62711 = 111 × 57011

Prime Factorization of 62725

Prime factors of 62725 are 5, 13, 193. Prime factorization of 62725 in exponential form is:

62725 = 52 × 131 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 62711 and 62725.

LCM(62711,62725) = 111 × 57011 × 52 × 131 × 1931
LCM(62711,62725) = 3933547475