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What is the Least Common Multiple of 68958 and 68971?

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 68958 and 68971 is 4756102218.

LCM(68958,68971) = 4756102218

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Least Common Multiple of 68958 and 68971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68958 and 68971, than apply into the LCM equation.

GCF(68958,68971) = 1
LCM(68958,68971) = ( 68958 × 68971) / 1
LCM(68958,68971) = 4756102218 / 1
LCM(68958,68971) = 4756102218

Least Common Multiple (LCM) of 68958 and 68971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68958 and 68971. First we will calculate the prime factors of 68958 and 68971.

Prime Factorization of 68958

Prime factors of 68958 are 2, 3, 1277. Prime factorization of 68958 in exponential form is:

68958 = 21 × 33 × 12771

Prime Factorization of 68971

Prime factors of 68971 are 7, 59, 167. Prime factorization of 68971 in exponential form is:

68971 = 71 × 591 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 68958 and 68971.

LCM(68958,68971) = 21 × 33 × 12771 × 71 × 591 × 1671
LCM(68958,68971) = 4756102218