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What is the Least Common Multiple of 68979 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 68979 and 68990 is 4758861210.

LCM(68979,68990) = 4758861210

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Least Common Multiple of 68979 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 68979 and 68990, than apply into the LCM equation.

GCF(68979,68990) = 1
LCM(68979,68990) = ( 68979 × 68990) / 1
LCM(68979,68990) = 4758861210 / 1
LCM(68979,68990) = 4758861210

Least Common Multiple (LCM) of 68979 and 68990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68979 and 68990. First we will calculate the prime factors of 68979 and 68990.

Prime Factorization of 68979

Prime factors of 68979 are 3, 22993. Prime factorization of 68979 in exponential form is:

68979 = 31 × 229931

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 68979 and 68990.

LCM(68979,68990) = 31 × 229931 × 21 × 51 × 68991
LCM(68979,68990) = 4758861210