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What is the Least Common Multiple of 39658 and 39663?

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 39658 and 39663 is 1572955254.

LCM(39658,39663) = 1572955254

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Least Common Multiple of 39658 and 39663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39658 and 39663, than apply into the LCM equation.

GCF(39658,39663) = 1
LCM(39658,39663) = ( 39658 × 39663) / 1
LCM(39658,39663) = 1572955254 / 1
LCM(39658,39663) = 1572955254

Least Common Multiple (LCM) of 39658 and 39663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39658 and 39663. First we will calculate the prime factors of 39658 and 39663.

Prime Factorization of 39658

Prime factors of 39658 are 2, 79, 251. Prime factorization of 39658 in exponential form is:

39658 = 21 × 791 × 2511

Prime Factorization of 39663

Prime factors of 39663 are 3, 13, 113. Prime factorization of 39663 in exponential form is:

39663 = 33 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 39658 and 39663.

LCM(39658,39663) = 21 × 791 × 2511 × 33 × 131 × 1131
LCM(39658,39663) = 1572955254