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What is the Least Common Multiple of 68974 and 68985?

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 68974 and 68985 is 4758171390.

LCM(68974,68985) = 4758171390

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Least Common Multiple of 68974 and 68985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68974 and 68985, than apply into the LCM equation.

GCF(68974,68985) = 1
LCM(68974,68985) = ( 68974 × 68985) / 1
LCM(68974,68985) = 4758171390 / 1
LCM(68974,68985) = 4758171390

Least Common Multiple (LCM) of 68974 and 68985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68974 and 68985. First we will calculate the prime factors of 68974 and 68985.

Prime Factorization of 68974

Prime factors of 68974 are 2, 34487. Prime factorization of 68974 in exponential form is:

68974 = 21 × 344871

Prime Factorization of 68985

Prime factors of 68985 are 3, 5, 7, 73. Prime factorization of 68985 in exponential form is:

68985 = 33 × 51 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 68974 and 68985.

LCM(68974,68985) = 21 × 344871 × 33 × 51 × 71 × 731
LCM(68974,68985) = 4758171390