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What is the Least Common Multiple of 68989 and 68993?

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 68989 and 68993 is 4759758077.

LCM(68989,68993) = 4759758077

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Least Common Multiple of 68989 and 68993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68989 and 68993, than apply into the LCM equation.

GCF(68989,68993) = 1
LCM(68989,68993) = ( 68989 × 68993) / 1
LCM(68989,68993) = 4759758077 / 1
LCM(68989,68993) = 4759758077

Least Common Multiple (LCM) of 68989 and 68993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68989 and 68993. First we will calculate the prime factors of 68989 and 68993.

Prime Factorization of 68989

Prime factors of 68989 are 19, 3631. Prime factorization of 68989 in exponential form is:

68989 = 191 × 36311

Prime Factorization of 68993

Prime factors of 68993 are 68993. Prime factorization of 68993 in exponential form is:

68993 = 689931

Now multiplying the highest exponent prime factors to calculate the LCM of 68989 and 68993.

LCM(68989,68993) = 191 × 36311 × 689931
LCM(68989,68993) = 4759758077