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What is the Least Common Multiple of 92950 and 92965?

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 92950 and 92965 is 1728219350.

LCM(92950,92965) = 1728219350

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Least Common Multiple of 92950 and 92965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92950 and 92965, than apply into the LCM equation.

GCF(92950,92965) = 5
LCM(92950,92965) = ( 92950 × 92965) / 5
LCM(92950,92965) = 8641096750 / 5
LCM(92950,92965) = 1728219350

Least Common Multiple (LCM) of 92950 and 92965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92950 and 92965. First we will calculate the prime factors of 92950 and 92965.

Prime Factorization of 92950

Prime factors of 92950 are 2, 5, 11, 13. Prime factorization of 92950 in exponential form is:

92950 = 21 × 52 × 111 × 132

Prime Factorization of 92965

Prime factors of 92965 are 5, 18593. Prime factorization of 92965 in exponential form is:

92965 = 51 × 185931

Now multiplying the highest exponent prime factors to calculate the LCM of 92950 and 92965.

LCM(92950,92965) = 21 × 52 × 111 × 132 × 185931
LCM(92950,92965) = 1728219350