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What is the Least Common Multiple of 62807 and 62818?

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 62807 and 62818 is 3945410126.

LCM(62807,62818) = 3945410126

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Least Common Multiple of 62807 and 62818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62807 and 62818, than apply into the LCM equation.

GCF(62807,62818) = 1
LCM(62807,62818) = ( 62807 × 62818) / 1
LCM(62807,62818) = 3945410126 / 1
LCM(62807,62818) = 3945410126

Least Common Multiple (LCM) of 62807 and 62818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62807 and 62818. First we will calculate the prime factors of 62807 and 62818.

Prime Factorization of 62807

Prime factors of 62807 are 181, 347. Prime factorization of 62807 in exponential form is:

62807 = 1811 × 3471

Prime Factorization of 62818

Prime factors of 62818 are 2, 7, 641. Prime factorization of 62818 in exponential form is:

62818 = 21 × 72 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 62807 and 62818.

LCM(62807,62818) = 1811 × 3471 × 21 × 72 × 6411
LCM(62807,62818) = 3945410126