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What is the Least Common Multiple of 68983 and 68992?

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 68983 and 68992 is 4759275136.

LCM(68983,68992) = 4759275136

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Least Common Multiple of 68983 and 68992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68983 and 68992, than apply into the LCM equation.

GCF(68983,68992) = 1
LCM(68983,68992) = ( 68983 × 68992) / 1
LCM(68983,68992) = 4759275136 / 1
LCM(68983,68992) = 4759275136

Least Common Multiple (LCM) of 68983 and 68992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68983 and 68992. First we will calculate the prime factors of 68983 and 68992.

Prime Factorization of 68983

Prime factors of 68983 are 101, 683. Prime factorization of 68983 in exponential form is:

68983 = 1011 × 6831

Prime Factorization of 68992

Prime factors of 68992 are 2, 7, 11. Prime factorization of 68992 in exponential form is:

68992 = 27 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 68983 and 68992.

LCM(68983,68992) = 1011 × 6831 × 27 × 72 × 111
LCM(68983,68992) = 4759275136