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What is the Least Common Multiple of 67977 and 67996?

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 67977 and 67996 is 4622164092.

LCM(67977,67996) = 4622164092

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Least Common Multiple of 67977 and 67996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67977 and 67996, than apply into the LCM equation.

GCF(67977,67996) = 1
LCM(67977,67996) = ( 67977 × 67996) / 1
LCM(67977,67996) = 4622164092 / 1
LCM(67977,67996) = 4622164092

Least Common Multiple (LCM) of 67977 and 67996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67977 and 67996. First we will calculate the prime factors of 67977 and 67996.

Prime Factorization of 67977

Prime factors of 67977 are 3, 7, 13, 83. Prime factorization of 67977 in exponential form is:

67977 = 32 × 71 × 131 × 831

Prime Factorization of 67996

Prime factors of 67996 are 2, 89, 191. Prime factorization of 67996 in exponential form is:

67996 = 22 × 891 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 67977 and 67996.

LCM(67977,67996) = 32 × 71 × 131 × 831 × 22 × 891 × 1911
LCM(67977,67996) = 4622164092