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What is the Least Common Multiple of 67900 and 67915?

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 67900 and 67915 is 922285700.

LCM(67900,67915) = 922285700

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Least Common Multiple of 67900 and 67915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67900 and 67915, than apply into the LCM equation.

GCF(67900,67915) = 5
LCM(67900,67915) = ( 67900 × 67915) / 5
LCM(67900,67915) = 4611428500 / 5
LCM(67900,67915) = 922285700

Least Common Multiple (LCM) of 67900 and 67915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67900 and 67915. First we will calculate the prime factors of 67900 and 67915.

Prime Factorization of 67900

Prime factors of 67900 are 2, 5, 7, 97. Prime factorization of 67900 in exponential form is:

67900 = 22 × 52 × 71 × 971

Prime Factorization of 67915

Prime factors of 67915 are 5, 17, 47. Prime factorization of 67915 in exponential form is:

67915 = 51 × 172 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 67900 and 67915.

LCM(67900,67915) = 22 × 52 × 71 × 971 × 172 × 471
LCM(67900,67915) = 922285700