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What is the Least Common Multiple of 92949 and 92960?

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 92949 and 92960 is 8640539040.

LCM(92949,92960) = 8640539040

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Least Common Multiple of 92949 and 92960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92949 and 92960, than apply into the LCM equation.

GCF(92949,92960) = 1
LCM(92949,92960) = ( 92949 × 92960) / 1
LCM(92949,92960) = 8640539040 / 1
LCM(92949,92960) = 8640539040

Least Common Multiple (LCM) of 92949 and 92960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92949 and 92960. First we will calculate the prime factors of 92949 and 92960.

Prime Factorization of 92949

Prime factors of 92949 are 3, 30983. Prime factorization of 92949 in exponential form is:

92949 = 31 × 309831

Prime Factorization of 92960

Prime factors of 92960 are 2, 5, 7, 83. Prime factorization of 92960 in exponential form is:

92960 = 25 × 51 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 92949 and 92960.

LCM(92949,92960) = 31 × 309831 × 25 × 51 × 71 × 831
LCM(92949,92960) = 8640539040