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What is the Least Common Multiple of 68986 and 68990?

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 68986 and 68990 is 2379672070.

LCM(68986,68990) = 2379672070

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Least Common Multiple of 68986 and 68990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68986 and 68990, than apply into the LCM equation.

GCF(68986,68990) = 2
LCM(68986,68990) = ( 68986 × 68990) / 2
LCM(68986,68990) = 4759344140 / 2
LCM(68986,68990) = 2379672070

Least Common Multiple (LCM) of 68986 and 68990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68986 and 68990. First we will calculate the prime factors of 68986 and 68990.

Prime Factorization of 68986

Prime factors of 68986 are 2, 17, 2029. Prime factorization of 68986 in exponential form is:

68986 = 21 × 171 × 20291

Prime Factorization of 68990

Prime factors of 68990 are 2, 5, 6899. Prime factorization of 68990 in exponential form is:

68990 = 21 × 51 × 68991

Now multiplying the highest exponent prime factors to calculate the LCM of 68986 and 68990.

LCM(68986,68990) = 21 × 171 × 20291 × 51 × 68991
LCM(68986,68990) = 2379672070