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What is the Least Common Multiple of 62545 and 62554?

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 62545 and 62554 is 3912439930.

LCM(62545,62554) = 3912439930

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Least Common Multiple of 62545 and 62554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62545 and 62554, than apply into the LCM equation.

GCF(62545,62554) = 1
LCM(62545,62554) = ( 62545 × 62554) / 1
LCM(62545,62554) = 3912439930 / 1
LCM(62545,62554) = 3912439930

Least Common Multiple (LCM) of 62545 and 62554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62545 and 62554. First we will calculate the prime factors of 62545 and 62554.

Prime Factorization of 62545

Prime factors of 62545 are 5, 7, 1787. Prime factorization of 62545 in exponential form is:

62545 = 51 × 71 × 17871

Prime Factorization of 62554

Prime factors of 62554 are 2, 31277. Prime factorization of 62554 in exponential form is:

62554 = 21 × 312771

Now multiplying the highest exponent prime factors to calculate the LCM of 62545 and 62554.

LCM(62545,62554) = 51 × 71 × 17871 × 21 × 312771
LCM(62545,62554) = 3912439930