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What is the Least Common Multiple of 68975 and 68984?

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 68975 and 68984 is 4758171400.

LCM(68975,68984) = 4758171400

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Least Common Multiple of 68975 and 68984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68975 and 68984, than apply into the LCM equation.

GCF(68975,68984) = 1
LCM(68975,68984) = ( 68975 × 68984) / 1
LCM(68975,68984) = 4758171400 / 1
LCM(68975,68984) = 4758171400

Least Common Multiple (LCM) of 68975 and 68984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68975 and 68984. First we will calculate the prime factors of 68975 and 68984.

Prime Factorization of 68975

Prime factors of 68975 are 5, 31, 89. Prime factorization of 68975 in exponential form is:

68975 = 52 × 311 × 891

Prime Factorization of 68984

Prime factors of 68984 are 2, 8623. Prime factorization of 68984 in exponential form is:

68984 = 23 × 86231

Now multiplying the highest exponent prime factors to calculate the LCM of 68975 and 68984.

LCM(68975,68984) = 52 × 311 × 891 × 23 × 86231
LCM(68975,68984) = 4758171400